112657428720 has 320 divisors, whose sum is σ = 395078999040. Its totient is φ = 29500111872.

The previous prime is 112657428713. The next prime is 112657428749. The reversal of 112657428720 is 27824756211.

112657428720 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 574 + 2 + 8 + 72 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 53979517 + ... + 53981603.

It is an arithmetic number, because the mean of its divisors is an integer number (1234621872).

Almost surely, 2^112657428720 is an apocalyptic number.

112657428720 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 112657428720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197539499520).

112657428720 is an abundant number, since it is smaller than the sum of its proper divisors (282421570320).

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

112657428720 is a wasteful number, since it uses less digits than its factorization.

112657428720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 112657428720 in words is "one hundred twelve billion, six hundred fifty-seven million, four hundred twenty-eight thousand, seven hundred twenty".