125679556800 has 336 divisors, whose sum is σ = 523599582720. Its totient is φ = 28726686720.

The previous prime is 125679556777. The next prime is 125679556837. The reversal of 125679556800 is 8655976521.

125679556800 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 7 + 9 + 556 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 94597 + ... + 510203.

Almost surely, 2^125679556800 is an apocalyptic number.

125679556800 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 125679556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261799791360).

125679556800 is an abundant number, since it is smaller than the sum of its proper divisors (397920025920).

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

125679556800 is a wasteful number, since it uses less digits than its factorization.

125679556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415645 (or 415624 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 125679556800 in words is "one hundred twenty-five billion, six hundred seventy-nine million, five hundred fifty-six thousand, eight hundred".