115705515600 has 360 divisors, whose sum is σ = 426145224960. Its totient is φ = 28971847680.

The previous prime is 115705515587. The next prime is 115705515619. The reversal of 115705515600 is 6515507511.

It is a happy number.

115705515600 is a `hidden beast` number, since 1 + 1 + 57 + 0 + 551 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29312827 + ... + 29316773.

It is an arithmetic number, because the mean of its divisors is an integer number (1183736736).

Almost surely, 2^115705515600 is an apocalyptic number.

115705515600 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 115705515600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213072612480).

115705515600 is an abundant number, since it is smaller than the sum of its proper divisors (310439709360).

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

115705515600 is a wasteful number, since it uses less digits than its factorization.

115705515600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 36.

The spelling of 115705515600 in words is "one hundred fifteen billion, seven hundred five million, five hundred fifteen thousand, six hundred".