725856247980 has 384 divisors, whose sum is σ = 2439525580800. Its totient is φ = 178581811968.

The previous prime is 725856247913. The next prime is 725856247993. The reversal of 725856247980 is 89742658527.

725856247980 is a `hidden beast` number, since 7 + 2 + 5 + 85 + 6 + 2 + 479 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161910819 + ... + 161915301.

It is an arithmetic number, because the mean of its divisors is an integer number (6352931200).

Almost surely, 2^725856247980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725856247980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219762790400).

725856247980 is an abundant number, since it is smaller than the sum of its proper divisors (1713669332820).

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

725856247980 is a wasteful number, since it uses less digits than its factorization.

725856247980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4922 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 725856247980 in words is "seven hundred twenty-five billion, eight hundred fifty-six million, two hundred forty-seven thousand, nine hundred eighty".