115368236928000 has 2816 divisors, whose sum is σ = 499886911180800. Its totient is φ = 25698572697600.

The previous prime is 115368236927987. The next prime is 115368236928011. The reversal of 115368236928000 is 829632863511.

115368236928000 is a `hidden beast` number, since 1 + 1 + 536 + 8 + 23 + 6 + 9 + 2 + 80 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 176674175674 + ... + 176674176326.

It is an arithmetic number, because the mean of its divisors is an integer number (177516658800).

Almost surely, 2^{115368236928000} is an apocalyptic number.

115368236928000 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 115368236928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249943455590400).

115368236928000 is an abundant number, since it is smaller than the sum of its proper divisors (384518674252800).

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

115368236928000 is a wasteful number, since it uses less digits than its factorization.

115368236928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 115368236928000 in words is "one hundred fifteen trillion, three hundred sixty-eight billion, two hundred thirty-six million, nine hundred twenty-eight thousand".