112551901529760 has 3456 divisors, whose sum is σ = 532797485875200. Its totient is φ = 21312958464000.

The previous prime is 112551901529737. The next prime is 112551901529797. The reversal of 112551901529760 is 67925109155211.

112551901529760 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 51 + 9 + 0 + 1 + 529 + 7 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 112551901529697 and 112551901529706.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 87317223196 + ... + 87317224484.

It is an arithmetic number, because the mean of its divisors is an integer number (154165939200).

Almost surely, 2^{112551901529760} is an apocalyptic number.

112551901529760 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 112551901529760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266398742937600).

112551901529760 is an abundant number, since it is smaller than the sum of its proper divisors (420245584345440).

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

112551901529760 is a wasteful number, since it uses less digits than its factorization.

112551901529760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 54.

The spelling of 112551901529760 in words is "one hundred twelve trillion, five hundred fifty-one billion, nine hundred one million, five hundred twenty-nine thousand, seven hundred sixty".