725214357504 has 864 divisors, whose sum is σ = 2631120710400. Its totient is φ = 188395683840.

The previous prime is 725214357467. The next prime is 725214357559. The reversal of 725214357504 is 405753412527.

725214357504 is a `hidden beast` number, since 7 + 2 + 52 + 1 + 43 + 57 + 504 = 666.

It is a super-2 number, since 2×725214357504² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 725214357504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1722599214 + ... + 1722599634.

It is an arithmetic number, because the mean of its divisors is an integer number (3045278600).

Almost surely, 2^725214357504 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 725214357504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315560355200).

725214357504 is an abundant number, since it is smaller than the sum of its proper divisors (1905906352896).

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

725214357504 is a wasteful number, since it uses less digits than its factorization.

725214357504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 725214357504 in words is "seven hundred twenty-five billion, two hundred fourteen million, three hundred fifty-seven thousand, five hundred four".