725835323520 has 224 divisors, whose sum is σ = 2601611654220. Its totient is φ = 193555961856.

The previous prime is 725835323509. The next prime is 725835323561. The reversal of 725835323520 is 25323538527.

725835323520 is a `hidden beast` number, since 7 + 2 + 5 + 83 + 532 + 35 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 710729930304 + 15105393216 = 843048^2 + 122904^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 311299 + ... + 1244418.

Almost surely, 2^725835323520 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 725835323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300805827110).

725835323520 is an abundant number, since it is smaller than the sum of its proper divisors (1875776330700).

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

725835323520 is an equidigital number, since it uses as much as digits as its factorization.

725835323520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555754 (or 1555727 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 725835323520 in words is "seven hundred twenty-five billion, eight hundred thirty-five million, three hundred twenty-three thousand, five hundred twenty".