113010655887360 has 1792 divisors, whose sum is σ = 507149736422400. Its totient is φ = 23482733690880.

The previous prime is 113010655887343. The next prime is 113010655887413. The reversal of 113010655887360 is 63788556010311.

It is a happy number.

113010655887360 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 1 + 0 + 6 + 558 + 87 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-3 number, since 3×113010655887360³ (a number of 43 digits) contains 333 as substring.

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 = 113010655887297 and 113010655887306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10273695989755 + ... + 10273695989765.

Almost surely, 2^{113010655887360} is an apocalyptic number.

113010655887360 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 113010655887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253574868211200).

113010655887360 is an abundant number, since it is smaller than the sum of its proper divisors (394139080535040).

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

113010655887360 is an frugal number, since it uses more digits than its factorization.

113010655887360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 113010655887360 in words is "one hundred thirteen trillion, ten billion, six hundred fifty-five million, eight hundred eighty-seven thousand, three hundred sixty".