725892710400 has 2520 divisors, whose sum is σ = 3357378645264. Its totient is φ = 152882380800.

The previous prime is 725892710381. The next prime is 725892710447. The reversal of 725892710400 is 4017298527.

It is a happy number.

725892710400 is a `hidden beast` number, since 7 + 2 + 589 + 27 + 1 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 42699571192 + ... + 42699571208.

Almost surely, 2^725892710400 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 725892710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678689322632).

725892710400 is an abundant number, since it is smaller than the sum of its proper divisors (2631485934864).

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

725892710400 is a wasteful number, since it uses less digits than its factorization.

725892710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 725892710400 in words is "seven hundred twenty-five billion, eight hundred ninety-two million, seven hundred ten thousand, four hundred".