115617600000 has 1440 divisors, whose sum is σ = 505329656832. Its totient is φ = 24883200000.

The previous prime is 115617599861. The next prime is 115617600019. The reversal of 115617600000 is 6716511.

115617600000 is a `hidden beast` number, since 1 + 1 + 56 + 1 + 7 + 600 + 0 + 0 + 0 = 666.

115617600000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3124799982 + ... + 3124800018.

Almost surely, 2^115617600000 is an apocalyptic number.

115617600000 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 115617600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252664828416).

115617600000 is an abundant number, since it is smaller than the sum of its proper divisors (389712056832).

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

115617600000 is an frugal number, since it uses more digits than its factorization.

115617600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 115617600000 in words is "one hundred fifteen billion, six hundred seventeen million, six hundred thousand".