725579182080 has 728 divisors, whose sum is σ = 2725364301408. Its totient is φ = 184987680768.

The previous prime is 725579182063. The next prime is 725579182109. The reversal of 725579182080 is 80281975527.

725579182080 is a `hidden beast` number, since 7 + 2 + 557 + 9 + 1 + 8 + 2 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 343387104 + ... + 343389216.

Almost surely, 2^725579182080 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 725579182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362682150704).

725579182080 is an abundant number, since it is smaller than the sum of its proper divisors (1999785119328).

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

725579182080 is an equidigital number, since it uses as much as digits as its factorization.

725579182080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 725579182080 in words is "seven hundred twenty-five billion, five hundred seventy-nine million, one hundred eighty-two thousand, eighty".