8457855120 has 720 divisors, whose sum is σ = 34408333440. Its totient is φ = 1845043200.

The previous prime is 8457855083. The next prime is 8457855139. The reversal of 8457855120 is 215587548.

8457855120 is a `hidden beast` number, since 8 + 4 + 5 + 78 + 551 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95032036 + ... + 95032124.

It is an arithmetic number, because the mean of its divisors is an integer number (47789352).

Almost surely, 2^8457855120 is an apocalyptic number.

8457855120 is a gapful number since it is divisible by the number (80) 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 8457855120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204166720).

8457855120 is an abundant number, since it is smaller than the sum of its proper divisors (25950478320).

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

8457855120 is a wasteful number, since it uses less digits than its factorization.

8457855120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The square root of 8457855120 is about 91966.5978494366. The cubic root of 8457855120 is about 2037.4490028010.

The spelling of 8457855120 in words is "eight billion, four hundred fifty-seven million, eight hundred fifty-five thousand, one hundred twenty".