115111911600 has 720 divisors, whose sum is σ = 478733359104. Its totient is φ = 25062912000.

The previous prime is 115111911571. The next prime is 115111911613. The reversal of 115111911600 is 6119111511.

115111911600 is a `hidden beast` number, since 1 + 1 + 51 + 1 + 1 + 9 + 1 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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, 44426305 + ... + 44428895.

Almost surely, 2^115111911600 is an apocalyptic number.

115111911600 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 115111911600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239366679552).

115111911600 is an abundant number, since it is smaller than the sum of its proper divisors (363621447504).

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

115111911600 is a wasteful number, since it uses less digits than its factorization.

115111911600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 27.

The spelling of 115111911600 in words is "one hundred fifteen billion, one hundred eleven million, nine hundred eleven thousand, six hundred".