115057152000 has 1664 divisors, whose sum is σ = 515207347200. Its totient is φ = 24772608000.

The previous prime is 115057151981. The next prime is 115057152011. The reversal of 115057152000 is 251750511.

115057152000 is a `hidden beast` number, since 1 + 1 + 505 + 7 + 152 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×115057152000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2806271980 + ... + 2806272020.

It is an arithmetic number, because the mean of its divisors is an integer number (309619800).

Almost surely, 2^115057152000 is an apocalyptic number.

115057152000 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 115057152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257603673600).

115057152000 is an abundant number, since it is smaller than the sum of its proper divisors (400150195200).

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

115057152000 is an equidigital number, since it uses as much as digits as its factorization.

115057152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The spelling of 115057152000 in words is "one hundred fifteen billion, fifty-seven million, one hundred fifty-two thousand".