115960896000 has 400 divisors, whose sum is σ = 431968010760. Its totient is φ = 30921523200.

The previous prime is 115960895987. The next prime is 115960896049. The reversal of 115960896000 is 698069511.

115960896000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31935119616 + 84025776384 = 178704^2 + 289872^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×115960896000² (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 5172816 + ... + 5195184.

Almost surely, 2^115960896000 is an apocalyptic number.

115960896000 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 115960896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215984005380).

115960896000 is an abundant number, since it is smaller than the sum of its proper divisors (316007114760).

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

115960896000 is an frugal number, since it uses more digits than its factorization.

115960896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22414 (or 22379 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 115960896000 in words is "one hundred fifteen billion, nine hundred sixty million, eight hundred ninety-six thousand".