115752056400 has 120 divisors (see below), whose sum is σ = 411991616960. Its totient is φ = 30867212160.

The previous prime is 115752056359. The next prime is 115752056423. The reversal of 115752056400 is 4650257511.

115752056400 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 5 + 2 + 0 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5348092 + ... + 5369691.

Almost surely, 2^115752056400 is an apocalyptic number.

115752056400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115752056400 is an abundant number, since it is smaller than the sum of its proper divisors (296239560560).

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

115752056400 is a wasteful number, since it uses less digits than its factorization.

115752056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10717810 (or 10717793 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 115752056400 in words is "one hundred fifteen billion, seven hundred fifty-two million, fifty-six thousand, four hundred".