112527360000 has 1200 divisors, whose sum is σ = 466780332480. Its totient is φ = 26542080000.

The previous prime is 112527359941. The next prime is 112527360017. The reversal of 112527360000 is 63725211.

It is a happy number.

112527360000 is a `hidden beast` number, since 1 + 1 + 2 + 52 + 7 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3041279982 + ... + 3041280018.

Almost surely, 2^112527360000 is an apocalyptic number.

112527360000 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 112527360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233390166240).

112527360000 is an abundant number, since it is smaller than the sum of its proper divisors (354252972480).

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

112527360000 is an frugal number, since it uses more digits than its factorization.

112527360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 112527360000 in words is "one hundred twelve billion, five hundred twenty-seven million, three hundred sixty thousand".