112575308160 has 256 divisors, whose sum is σ = 416219927040. Its totient is φ = 25347244032.

The previous prime is 112575308159. The next prime is 112575308173. The reversal of 112575308160 is 61803575211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837972 + ... + 962988.

It is an arithmetic number, because the mean of its divisors is an integer number (1625859090).

Almost surely, 2^112575308160 is an apocalyptic number.

112575308160 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 112575308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208109963520).

112575308160 is an abundant number, since it is smaller than the sum of its proper divisors (303644618880).

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

112575308160 is a wasteful number, since it uses less digits than its factorization.

112575308160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125113 (or 125101 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 112575308160 in words is "one hundred twelve billion, five hundred seventy-five million, three hundred eight thousand, one hundred sixty".