5085400320 has 1440 divisors, whose sum is σ = 24930259200. Its totient is φ = 975421440.

The previous prime is 5085400223. The next prime is 5085400321. The reversal of 5085400320 is 230045805.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×5085400320² = 51722592829312204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5085400321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 391184634 + ... + 391184646.

It is an arithmetic number, because the mean of its divisors is an integer number (17312680).

Almost surely, 2^5085400320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5085400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12465129600).

5085400320 is an abundant number, since it is smaller than the sum of its proper divisors (19844858880).

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

5085400320 is a wasteful number, since it uses less digits than its factorization.

5085400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5085400320 is about 71311.9928202823. The cubic root of 5085400320 is about 1719.6565385949.

The spelling of 5085400320 in words is "five billion, eighty-five million, four hundred thousand, three hundred twenty".