725387586560 has 1056 divisors, whose sum is σ = 2319960932352. Its totient is φ = 212548976640.

The previous prime is 725387586533. The next prime is 725387586587. The reversal of 725387586560 is 65685783527.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (725387586533) and next prime (725387586587).

It is a junction number, because it is equal to n+sod(n) for n = 725387586493 and 725387586502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5711713217 + ... + 5711713343.

Almost surely, 2^725387586560 is an apocalyptic number.

725387586560 is a gapful number since it is divisible by the number (70) 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 725387586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159980466176).

725387586560 is an abundant number, since it is smaller than the sum of its proper divisors (1594573345792).

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

725387586560 is a wasteful number, since it uses less digits than its factorization.

725387586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 62.

The spelling of 725387586560 in words is "seven hundred twenty-five billion, three hundred eighty-seven million, five hundred eighty-six thousand, five hundred sixty".