725498085600 has 216 divisors, whose sum is σ = 2558874034080. Its totient is φ = 193421813760.

The previous prime is 725498085593. The next prime is 725498085617. The reversal of 725498085600 is 6580894527.

725498085600 is a `hidden beast` number, since 7 + 25 + 4 + 9 + 8 + 0 + 8 + 5 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42032172 + ... + 42049428.

Almost surely, 2^725498085600 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 725498085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279437017040).

725498085600 is an abundant number, since it is smaller than the sum of its proper divisors (1833375948480).

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

725498085600 is a wasteful number, since it uses less digits than its factorization.

725498085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23122 (or 23106 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 725498085600 in words is "seven hundred twenty-five billion, four hundred ninety-eight million, eighty-five thousand, six hundred".