115893504000 has 960 divisors, whose sum is σ = 452652520320. Its totient is φ = 29561241600.

The previous prime is 115893503969. The next prime is 115893504019. The reversal of 115893504000 is 405398511.

115893504000 is a `hidden beast` number, since 1 + 1 + 589 + 35 + 0 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5038847989 + ... + 5038848011.

It is an arithmetic number, because the mean of its divisors is an integer number (471513042).

Almost surely, 2^115893504000 is an apocalyptic number.

115893504000 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 115893504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226326260160).

115893504000 is an abundant number, since it is smaller than the sum of its proper divisors (336759016320).

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

115893504000 is an frugal number, since it uses more digits than its factorization.

115893504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 115893504000 in words is "one hundred fifteen billion, eight hundred ninety-three million, five hundred four thousand".