112379756590080 has 704 divisors, whose sum is σ = 464167632384000. Its totient is φ = 25251419160576.

The previous prime is 112379756590067. The next prime is 112379756590163. The reversal of 112379756590080 is 80095657973211.

112379756590080 is a `hidden beast` number, since 1 + 1 + 2 + 37 + 9 + 7 + 5 + 6 + 590 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56108941 + ... + 58077299.

Almost surely, 2^{112379756590080} is an apocalyptic number.

112379756590080 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 112379756590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232083816192000).

112379756590080 is an abundant number, since it is smaller than the sum of its proper divisors (351787875793920).

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

112379756590080 is a wasteful number, since it uses less digits than its factorization.

112379756590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968459 (or 1968435 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 112379756590080 in words is "one hundred twelve trillion, three hundred seventy-nine billion, seven hundred fifty-six million, five hundred ninety thousand, eighty".