112796962560 has 432 divisors, whose sum is σ = 422495045280. Its totient is φ = 28492922880.

The previous prime is 112796962543. The next prime is 112796962639. The reversal of 112796962560 is 65269697211.

112796962560 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 9 + 6 + 9 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 112796962497 and 112796962506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12471640 + ... + 12480680.

It is an arithmetic number, because the mean of its divisors is an integer number (977997790).

Almost surely, 2^112796962560 is an apocalyptic number.

112796962560 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 112796962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211247522640).

112796962560 is an abundant number, since it is smaller than the sum of its proper divisors (309698082720).

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

112796962560 is an equidigital number, since it uses as much as digits as its factorization.

112796962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9109 (or 9070 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 112796962560 in words is "one hundred twelve billion, seven hundred ninety-six million, nine hundred sixty-two thousand, five hundred sixty".