112991598720 has 768 divisors, whose sum is σ = 523896871680. Its totient is φ = 21671608320.

The previous prime is 112991598703. The next prime is 112991598749. The reversal of 112991598720 is 27895199211.

It is a happy number.

112991598720 is a `hidden beast` number, since 1 + 1 + 29 + 9 + 1 + 598 + 7 + 20 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5755962 + ... + 5775558.

It is an arithmetic number, because the mean of its divisors is an integer number (682157385).

Almost surely, 2^112991598720 is an apocalyptic number.

112991598720 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 112991598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261948435840).

112991598720 is an abundant number, since it is smaller than the sum of its proper divisors (410905272960).

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

112991598720 is a wasteful number, since it uses less digits than its factorization.

112991598720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19653 (or 19638 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 54.

The spelling of 112991598720 in words is "one hundred twelve billion, nine hundred ninety-one million, five hundred ninety-eight thousand, seven hundred twenty".