725026286400 has 672 divisors, whose sum is σ = 2629874677248. Its totient is φ = 173757235200.

The previous prime is 725026286393. The next prime is 725026286417. The reversal of 725026286400 is 4682620527.

725026286400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 683341870 + ... + 683342930.

It is an arithmetic number, because the mean of its divisors is an integer number (3913503984).

Almost surely, 2^725026286400 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 725026286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314937338624).

725026286400 is an abundant number, since it is smaller than the sum of its proper divisors (1904848390848).

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

725026286400 is a wasteful number, since it uses less digits than its factorization.

725026286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 725026286400 in words is "seven hundred twenty-five billion, twenty-six million, two hundred eighty-six thousand, four hundred".