115935362400 has 1152 divisors, whose sum is σ = 485320937472. Its totient is φ = 23592960000.

The previous prime is 115935362341. The next prime is 115935362423. The reversal of 115935362400 is 4263539511.

115935362400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180866080 + ... + 180866720.

It is an arithmetic number, because the mean of its divisors is an integer number (421285536).

Almost surely, 2^115935362400 is an apocalyptic number.

115935362400 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 115935362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242660468736).

115935362400 is an abundant number, since it is smaller than the sum of its proper divisors (369385575072).

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

115935362400 is a wasteful number, since it uses less digits than its factorization.

115935362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 115935362400 in words is "one hundred fifteen billion, nine hundred thirty-five million, three hundred sixty-two thousand, four hundred".