115187763600 has 2160 divisors, whose sum is σ = 550448376192. Its totient is φ = 21737963520.

The previous prime is 115187763589. The next prime is 115187763601. The reversal of 115187763600 is 6367781511.

115187763600 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 8 + 7 + 7 + 636 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (115187763601) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2678785179 + ... + 2678785221.

Almost surely, 2^115187763600 is an apocalyptic number.

115187763600 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 115187763600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275224188096).

115187763600 is an abundant number, since it is smaller than the sum of its proper divisors (435260612592).

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

115187763600 is a wasteful number, since it uses less digits than its factorization.

115187763600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 115187763600 in words is "one hundred fifteen billion, one hundred eighty-seven million, seven hundred sixty-three thousand, six hundred".