112659599520 has 768 divisors, whose sum is σ = 437584896000. Its totient is φ = 26900729856.

The previous prime is 112659599489. The next prime is 112659599527. The reversal of 112659599520 is 25995956211.

112659599520 is a `hidden beast` number, since 1 + 1 + 2 + 65 + 9 + 59 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (112659599527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 297254691 + ... + 297255069.

It is an arithmetic number, because the mean of its divisors is an integer number (569772000).

Almost surely, 2^112659599520 is an apocalyptic number.

112659599520 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 112659599520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218792448000).

112659599520 is an abundant number, since it is smaller than the sum of its proper divisors (324925296480).

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

112659599520 is a wasteful number, since it uses less digits than its factorization.

112659599520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 54.

The spelling of 112659599520 in words is "one hundred twelve billion, six hundred fifty-nine million, five hundred ninety-nine thousand, five hundred twenty".