113599610880 has 512 divisors, whose sum is σ = 420212517120. Its totient is φ = 25669140480.

The previous prime is 113599610857. The next prime is 113599610893. The reversal of 113599610880 is 88016995311.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471367560 + ... + 471367800.

Almost surely, 2^113599610880 is an apocalyptic number.

113599610880 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 113599610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210106258560).

113599610880 is an abundant number, since it is smaller than the sum of its proper divisors (306612906240).

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

113599610880 is an equidigital number, since it uses as much as digits as its factorization.

113599610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The spelling of 113599610880 in words is "one hundred thirteen billion, five hundred ninety-nine million, six hundred ten thousand, eight hundred eighty".