115754961600 has 840 divisors, whose sum is σ = 463610096400. Its totient is φ = 28217548800.

The previous prime is 115754961557. The next prime is 115754961607. The reversal of 115754961600 is 6169457511.

115754961600 is a `hidden beast` number, since 1 + 157 + 5 + 496 + 1 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×115754961600² (a number of 23 digits) contains 22 as substring.

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 (115754961607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 71408790 + ... + 71410410.

Almost surely, 2^115754961600 is an apocalyptic number.

115754961600 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 115754961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231805048200).

115754961600 is an abundant number, since it is smaller than the sum of its proper divisors (347855134800).

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

115754961600 is a wasteful number, since it uses less digits than its factorization.

115754961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 115754961600 in words is "one hundred fifteen billion, seven hundred fifty-four million, nine hundred sixty-one thousand, six hundred".