115968442867200 has 5760 divisors, whose sum is σ = 556920791454720. Its totient is φ = 23412503347200.

The previous prime is 115968442867187. The next prime is 115968442867289. The reversal of 115968442867200 is 2768244869511.

It is a happy number.

115968442867200 is a `hidden beast` number, since 1 + 1 + 5 + 96 + 8 + 442 + 86 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1588608806364 + ... + 1588608806436.

Almost surely, 2^{115968442867200} is an apocalyptic number.

115968442867200 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 115968442867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278460395727360).

115968442867200 is an abundant number, since it is smaller than the sum of its proper divisors (440952348587520).

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

115968442867200 is an frugal number, since it uses more digits than its factorization.

115968442867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 115968442867200 in words is "one hundred fifteen trillion, nine hundred sixty-eight billion, four hundred forty-two million, eight hundred sixty-seven thousand, two hundred".