125978255424 has 560 divisors, whose sum is σ = 454518979200. Its totient is φ = 33699815424.

The previous prime is 125978255339. The next prime is 125978255449. The reversal of 125978255424 is 424552879521.

125978255424 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 7 + 82 + 554 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61361982 + ... + 61364034.

Almost surely, 2^125978255424 is an apocalyptic number.

125978255424 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 125978255424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227259489600).

125978255424 is an abundant number, since it is smaller than the sum of its proper divisors (328540723776).

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

125978255424 is a wasteful number, since it uses less digits than its factorization.

125978255424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2173 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 125978255424 in words is "one hundred twenty-five billion, nine hundred seventy-eight million, two hundred fifty-five thousand, four hundred twenty-four".