82569723904 has 72 divisors (see below), whose sum is σ = 165568470228. Its totient is φ = 41177579520.

The previous prime is 82569723881. The next prime is 82569723937. The reversal of 82569723904 is 40932796528.

It can be written as a sum of positive squares in 2 ways, for example, as 76866453504 + 5703270400 = 277248^2 + 75520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80870914 + ... + 80871934.

Almost surely, 2^82569723904 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 82569723904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82784235114).

82569723904 is an abundant number, since it is smaller than the sum of its proper divisors (82998746324).

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

82569723904 is an frugal number, since it uses more digits than its factorization.

82569723904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 82569723904 in words is "eighty-two billion, five hundred sixty-nine million, seven hundred twenty-three thousand, nine hundred four".