113988556800 has 288 divisors, whose sum is σ = 418705232400. Its totient is φ = 30396579840.

The previous prime is 113988556793. The next prime is 113988556841. The reversal of 113988556800 is 8655889311.

113988556800 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 8 + 8 + 556 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1341172 + ... + 1423628.

Almost surely, 2^113988556800 is an apocalyptic number.

113988556800 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 113988556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209352616200).

113988556800 is an abundant number, since it is smaller than the sum of its proper divisors (304716675600).

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

113988556800 is an equidigital number, since it uses as much as digits as its factorization.

113988556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82498 (or 82467 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 113988556800 in words is "one hundred thirteen billion, nine hundred eighty-eight million, five hundred fifty-six thousand, eight hundred".