112530520800 has 864 divisors, whose sum is σ = 443635605504. Its totient is φ = 26707968000.

The previous prime is 112530520777. The next prime is 112530520819. The reversal of 112530520800 is 8025035211.

It is a happy number.

112530520800 is a `hidden beast` number, since 1 + 1 + 2 + 530 + 52 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×112530520800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 178336485 + ... + 178337115.

It is an arithmetic number, because the mean of its divisors is an integer number (513467136).

Almost surely, 2^112530520800 is an apocalyptic number.

112530520800 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 112530520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221817802752).

112530520800 is an abundant number, since it is smaller than the sum of its proper divisors (331105084704).

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

112530520800 is a wasteful number, since it uses less digits than its factorization.

112530520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 112530520800 in words is "one hundred twelve billion, five hundred thirty million, five hundred twenty thousand, eight hundred".