112527105292800 has 1440 divisors, whose sum is σ = 454614480936000. Its totient is φ = 27241839820800.

The previous prime is 112527105292799. The next prime is 112527105292817. The reversal of 112527105292800 is 8292501725211.

It is a happy number.

112527105292800 is a `hidden beast` number, since 1 + 1 + 2 + 52 + 71 + 0 + 529 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 41692145851 + ... + 41692148549.

It is an arithmetic number, because the mean of its divisors is an integer number (315704500650).

Almost surely, 2^{112527105292800} is an apocalyptic number.

112527105292800 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 112527105292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227307240468000).

112527105292800 is an abundant number, since it is smaller than the sum of its proper divisors (342087375643200).

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

112527105292800 is a wasteful number, since it uses less digits than its factorization.

112527105292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3755 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 112527105292800 in words is "one hundred twelve trillion, five hundred twenty-seven billion, one hundred five million, two hundred ninety-two thousand, eight hundred".