113907578400 has 1440 divisors, whose sum is σ = 532759151232. Its totient is φ = 22992076800.

The previous prime is 113907578381. The next prime is 113907578401. The reversal of 113907578400 is 4875709311.

113907578400 is a `hidden beast` number, since 1 + 1 + 39 + 0 + 7 + 578 + 40 + 0 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (113907578401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 184614892 + ... + 184615508.

Almost surely, 2^113907578400 is an apocalyptic number.

113907578400 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 113907578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266379575616).

113907578400 is an abundant number, since it is smaller than the sum of its proper divisors (418851572832).

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

113907578400 is a wasteful number, since it uses less digits than its factorization.

113907578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 113907578400 in words is "one hundred thirteen billion, nine hundred seven million, five hundred seventy-eight thousand, four hundred".