125652844800 has 648 divisors, whose sum is σ = 516578811840. Its totient is φ = 28543795200.

The previous prime is 125652844777. The next prime is 125652844817. The reversal of 125652844800 is 8448256521.

125652844800 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 528 + 44 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72171930 + ... + 72173670.

Almost surely, 2^125652844800 is an apocalyptic number.

125652844800 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 125652844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258289405920).

125652844800 is an abundant number, since it is smaller than the sum of its proper divisors (390925967040).

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

125652844800 is a wasteful number, since it uses less digits than its factorization.

125652844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 125652844800 in words is "one hundred twenty-five billion, six hundred fifty-two million, eight hundred forty-four thousand, eight hundred".