115064611200 has 1728 divisors, whose sum is σ = 531401925600. Its totient is φ = 23194828800.

The previous prime is 115064611169. The next prime is 115064611261. The reversal of 115064611200 is 2116460511.

115064611200 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 646 + 1 + 12 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1292860756 + ... + 1292860844.

Almost surely, 2^115064611200 is an apocalyptic number.

115064611200 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 115064611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265700962800).

115064611200 is an abundant number, since it is smaller than the sum of its proper divisors (416337314400).

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

115064611200 is a wasteful number, since it uses less digits than its factorization.

115064611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 115064611200 in words is "one hundred fifteen billion, sixty-four million, six hundred eleven thousand, two hundred".