82759495728 has 160 divisors (see below), whose sum is σ = 263932329472. Its totient is φ = 21760358400.

The previous prime is 82759495639. The next prime is 82759495739.

82759495728 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1417188 + ... + 1474428.

Almost surely, 2^82759495728 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 82759495728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131966164736).

82759495728 is an abundant number, since it is smaller than the sum of its proper divisors (181172833744).

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

82759495728 is a wasteful number, since it uses less digits than its factorization.

82759495728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57603 (or 57597 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 66.

The spelling of 82759495728 in words is "eighty-two billion, seven hundred fifty-nine million, four hundred ninety-five thousand, seven hundred twenty-eight".