112772592092160 has 8448 divisors, whose sum is σ = 590664588853248. Its totient is φ = 19865154355200.

The previous prime is 112772592092159. The next prime is 112772592092161. The reversal of 112772592092160 is 61290295277211.

112772592092160 is a `hidden beast` number, since 1 + 1 + 27 + 7 + 2 + 592 + 0 + 9 + 21 + 6 + 0 = 666.

112772592092160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112772592092159) and next prime (112772592092161).

It is a tau number, because it is divible by the number of its divisors (8448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 112772592092097 and 112772592092106.

It is not an unprimeable number, because it can be changed into a prime (112772592092161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 887973166017 + ... + 887973166143.

Almost surely, 2^{112772592092160} is an apocalyptic number.

112772592092160 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 112772592092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295332294426624).

112772592092160 is an abundant number, since it is smaller than the sum of its proper divisors (477891996761088).

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

112772592092160 is a wasteful number, since it uses less digits than its factorization.

112772592092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 112772592092160 in words is "one hundred twelve trillion, seven hundred seventy-two billion, five hundred ninety-two million, ninety-two thousand, one hundred sixty".