125613379584 has 936 divisors, whose sum is σ = 475851230400. Its totient is φ = 32407879680.

The previous prime is 125613379553. The next prime is 125613379603. The reversal of 125613379584 is 485973316521.

It is a happy number.

125613379584 is a `hidden beast` number, since 1 + 2 + 56 + 1 + 3 + 3 + 7 + 9 + 584 = 666.

It is a super-2 number, since 2×125613379584² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 125613379584.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 843042742 + ... + 843042890.

Almost surely, 2^125613379584 is an apocalyptic number.

125613379584 is a gapful number since it is divisible by the number (14) 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 125613379584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237925615200).

125613379584 is an abundant number, since it is smaller than the sum of its proper divisors (350237850816).

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

125613379584 is an equidigital number, since it uses as much as digits as its factorization.

125613379584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 172 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 125613379584 in words is "one hundred twenty-five billion, six hundred thirteen million, three hundred seventy-nine thousand, five hundred eighty-four".