987335490960000 has 4800 divisors, whose sum is σ = 4639780823620800. Its totient is φ = 197352889344000.

The previous prime is 987335490959941. The next prime is 987335490960029. The reversal of 987335490960000 is 69094533789.

987335490960000 is a `hidden beast` number, since 9 + 87 + 3 + 3 + 5 + 490 + 9 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 987335490960000 = 25805³ + 98995³ = 54340³ + 93860³.

It is a self number, because there is not a number n which added to its sum of digits gives 987335490960000.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 160550 × 155610 × 39520.

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 51965025839991 + ... + 51965025840009.

It is an arithmetic number, because the mean of its divisors is an integer number (966621004921).

Almost surely, 2^{987335490960000} is an apocalyptic number.

987335490960000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987335490960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319890411810400).

987335490960000 is an abundant number, since it is smaller than the sum of its proper divisors (3652445332660800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

987335490960000 is an frugal number, since it uses more digits than its factorization.

987335490960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 987335490960000 in words is "nine hundred eighty-seven trillion, three hundred thirty-five billion, four hundred ninety million, nine hundred sixty thousand".