725895889920 has 352 divisors, whose sum is σ = 2582603936640. Its totient is φ = 193354629120.

The previous prime is 725895889889. The next prime is 725895889933. The reversal of 725895889920 is 29988598527.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150817434 + ... + 150822246.

Almost surely, 2^725895889920 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 725895889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291301968320).

725895889920 is an abundant number, since it is smaller than the sum of its proper divisors (1856708046720).

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

725895889920 is a wasteful number, since it uses less digits than its factorization.

725895889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 72.

The spelling of 725895889920 in words is "seven hundred twenty-five billion, eight hundred ninety-five million, eight hundred eighty-nine thousand, nine hundred twenty".