113907853800 has 672 divisors, whose sum is σ = 450264410400. Its totient is φ = 26554728960.

The previous prime is 113907853789. The next prime is 113907853849. The reversal of 113907853800 is 8358709311.

113907853800 is a `hidden beast` number, since 11 + 39 + 0 + 78 + 538 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 36011019 + ... + 36014181.

It is an arithmetic number, because the mean of its divisors is an integer number (670036325).

Almost surely, 2^113907853800 is an apocalyptic number.

113907853800 is a gapful number since it is divisible by the number (10) 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 113907853800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225132205200).

113907853800 is an abundant number, since it is smaller than the sum of its proper divisors (336356556600).

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

113907853800 is a wasteful number, since it uses less digits than its factorization.

113907853800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 113907853800 in words is "one hundred thirteen billion, nine hundred seven million, eight hundred fifty-three thousand, eight hundred".