125724856320 has 832 divisors, whose sum is σ = 518415598080. Its totient is φ = 28665446400.

The previous prime is 125724856303. The next prime is 125724856403. The reversal of 125724856320 is 23658427521.

125724856320 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 2 + 4 + 8 + 5 + 632 + 0 = 666.

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313528120 + ... + 313528520.

Almost surely, 2^125724856320 is an apocalyptic number.

125724856320 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 125724856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259207799040).

125724856320 is an abundant number, since it is smaller than the sum of its proper divisors (392690741760).

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

125724856320 is an frugal number, since it uses more digits than its factorization.

125724856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 125724856320 in words is "one hundred twenty-five billion, seven hundred twenty-four million, eight hundred fifty-six thousand, three hundred twenty".