725753185280 has 264 divisors, whose sum is σ = 1862671858632. Its totient is φ = 270392098816.

The previous prime is 725753185253. The next prime is 725753185321. The reversal of 725753185280 is 82581357527.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 581790613504 + 143962571776 = 762752^2 + 379424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1111413434 + ... + 1111414086.

Almost surely, 2^725753185280 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 725753185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931335929316).

725753185280 is an abundant number, since it is smaller than the sum of its proper divisors (1136918673352).

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

725753185280 is a wasteful number, since it uses less digits than its factorization.

725753185280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 53.

The spelling of 725753185280 in words is "seven hundred twenty-five billion, seven hundred fifty-three million, one hundred eighty-five thousand, two hundred eighty".