112975720169760 has 864 divisors, whose sum is σ = 453621175862400. Its totient is φ = 25527224991744.

The previous prime is 112975720169759. The next prime is 112975720169773. The reversal of 112975720169760 is 67961027579211.

112975720169760 is a `hidden beast` number, since 1 + 1 + 297 + 57 + 201 + 6 + 97 + 6 + 0 = 666.

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

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, 6207789141 + ... + 6207807339.

It is an arithmetic number, because the mean of its divisors is an integer number (525024509100).

Almost surely, 2^{112975720169760} is an apocalyptic number.

112975720169760 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 112975720169760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226810587931200).

112975720169760 is an abundant number, since it is smaller than the sum of its proper divisors (340645455692640).

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

112975720169760 is a wasteful number, since it uses less digits than its factorization.

112975720169760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19238 (or 19220 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

The spelling of 112975720169760 in words is "one hundred twelve trillion, nine hundred seventy-five billion, seven hundred twenty million, one hundred sixty-nine thousand, seven hundred sixty".