113172971520 has 768 divisors, whose sum is σ = 436066744320. Its totient is φ = 24970788864.

The previous prime is 113172971501. The next prime is 113172971537. The reversal of 113172971520 is 25179271311.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×113172971520² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891125697 + ... + 891125823.

It is an arithmetic number, because the mean of its divisors is an integer number (567795240).

Almost surely, 2^113172971520 is an apocalyptic number.

113172971520 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 113172971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218033372160).

113172971520 is an abundant number, since it is smaller than the sum of its proper divisors (322893772800).

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

113172971520 is an equidigital number, since it uses as much as digits as its factorization.

113172971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 39.

The spelling of 113172971520 in words is "one hundred thirteen billion, one hundred seventy-two million, nine hundred seventy-one thousand, five hundred twenty".