115938359056800 has 576 divisors, whose sum is σ = 479256525619200. Its totient is φ = 26497727769600.

The previous prime is 115938359056783. The next prime is 115938359056811. The reversal of 115938359056800 is 8650953839511.

115938359056800 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 38 + 3 + 590 + 5 + 6 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1989611665 + ... + 1989669935.

It is an arithmetic number, because the mean of its divisors is an integer number (832042579200).

Almost surely, 2^{115938359056800} is an apocalyptic number.

115938359056800 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 115938359056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239628262809600).

115938359056800 is an abundant number, since it is smaller than the sum of its proper divisors (363318166562400).

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

115938359056800 is a wasteful number, since it uses less digits than its factorization.

115938359056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71466 (or 71447 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 115938359056800 in words is "one hundred fifteen trillion, nine hundred thirty-eight billion, three hundred fifty-nine million, fifty-six thousand, eight hundred".