115185596400 has 1440 divisors, whose sum is σ = 504344608768. Its totient is φ = 24690355200.

The previous prime is 115185596381. The next prime is 115185596411. The reversal of 115185596400 is 4695581511.

115185596400 is a `hidden beast` number, since 1 + 1 + 5 + 18 + 5 + 596 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 906973137 + ... + 906973263.

Almost surely, 2^115185596400 is an apocalyptic number.

115185596400 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 115185596400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252172304384).

115185596400 is an abundant number, since it is smaller than the sum of its proper divisors (389159012368).

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

115185596400 is a wasteful number, since it uses less digits than its factorization.

115185596400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 115185596400 in words is "one hundred fifteen billion, one hundred eighty-five million, five hundred ninety-six thousand, four hundred".