115993504800 has 108 divisors (see below), whose sum is σ = 409022121690. Its totient is φ = 30931599360.

The previous prime is 115993504777. The next prime is 115993504801. The reversal of 115993504800 is 8405399511.

115993504800 is a `hidden beast` number, since 1 + 1 + 59 + 93 + 504 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 100415469456 + 15578035344 = 316884^2 + 124812^2 .

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 (115993504801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8047905 + ... + 8062304.

Almost surely, 2^115993504800 is an apocalyptic number.

115993504800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115993504800 is an abundant number, since it is smaller than the sum of its proper divisors (293028616890).

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

115993504800 is a wasteful number, since it uses less digits than its factorization.

115993504800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16110235 (or 16110219 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 115993504800 in words is "one hundred fifteen billion, nine hundred ninety-three million, five hundred four thousand, eight hundred".