112715207596800 has 2160 divisors, whose sum is σ = 459915914747520. Its totient is φ = 27130650624000.

The previous prime is 112715207596741. The next prime is 112715207596913. The reversal of 112715207596800 is 8695702517211.

112715207596800 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 1 + 520 + 7 + 59 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17364841555 + ... + 17364848045.

Almost surely, 2^{112715207596800} is an apocalyptic number.

112715207596800 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 112715207596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229957957373760).

112715207596800 is an abundant number, since it is smaller than the sum of its proper divisors (347200707150720).

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

112715207596800 is a wasteful number, since it uses less digits than its factorization.

112715207596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 112715207596800 in words is "one hundred twelve trillion, seven hundred fifteen billion, two hundred seven million, five hundred ninety-six thousand, eight hundred".