112581705600 has 2304 divisors, whose sum is σ = 538837178880. Its totient is φ = 22574039040.

The previous prime is 112581705589. The next prime is 112581705667. The reversal of 112581705600 is 6507185211.

112581705600 is a `hidden beast` number, since 1 + 1 + 2 + 581 + 70 + 5 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2618179179 + ... + 2618179221.

Almost surely, 2^112581705600 is an apocalyptic number.

112581705600 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 112581705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269418589440).

112581705600 is an abundant number, since it is smaller than the sum of its proper divisors (426255473280).

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

112581705600 is a wasteful number, since it uses less digits than its factorization.

112581705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 112581705600 in words is "one hundred twelve billion, five hundred eighty-one million, seven hundred five thousand, six hundred".