113089261393920 has 3072 divisors, whose sum is σ = 465939661824000. Its totient is φ = 23306069606400.

The previous prime is 113089261393847. The next prime is 113089261393939. The reversal of 113089261393920 is 29393162980311.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 748935505845 + ... + 748935505995.

It is an arithmetic number, because the mean of its divisors is an integer number (151673067000).

Almost surely, 2^{113089261393920} is an apocalyptic number.

113089261393920 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 113089261393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232969830912000).

113089261393920 is an abundant number, since it is smaller than the sum of its proper divisors (352850400430080).

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

113089261393920 is a wasteful number, since it uses less digits than its factorization.

113089261393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 57.

The spelling of 113089261393920 in words is "one hundred thirteen trillion, eighty-nine billion, two hundred sixty-one million, three hundred ninety-three thousand, nine hundred twenty".