725458717507536 has 200 divisors, whose sum is σ = 2101785311862720. Its totient is φ = 241578091408896.

The previous prime is 725458717507499. The next prime is 725458717507541. The reversal of 725458717507536 is 635705717854527.

725458717507536 is a `hidden beast` number, since 7 + 2 + 5 + 4 + 5 + 87 + 1 + 7 + 5 + 0 + 7 + 536 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10889960500 + ... + 10890027116.

Almost surely, 2^{725458717507536} 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 725458717507536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050892655931360).

725458717507536 is an abundant number, since it is smaller than the sum of its proper divisors (1376326594355184).

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

725458717507536 is a wasteful number, since it uses less digits than its factorization.

725458717507536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74903 (or 74888 counting only the distinct ones).

The product of its (nonzero) digits is 1728720000, while the sum is 72.

The spelling of 725458717507536 in words is "seven hundred twenty-five trillion, four hundred fifty-eight billion, seven hundred seventeen million, five hundred seven thousand, five hundred thirty-six".