82576680505 has 24 divisors (see below), whose sum is σ = 108971049600. Its totient is φ = 60027248160.

The previous prime is 82576680491. The next prime is 82576680587. The reversal of 82576680505 is 50508667528.

It is not a de Polignac number, because 82576680505 - 2²⁵ = 82543126073 is a prime.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1286976 + ... + 1349614.

It is an arithmetic number, because the mean of its divisors is an integer number (4540460400).

Almost surely, 2^82576680505 is an apocalyptic number.

It is an amenable number.

82576680505 is a deficient number, since it is larger than the sum of its proper divisors (26394369095).

82576680505 is a wasteful number, since it uses less digits than its factorization.

82576680505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64845 (or 64834 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 52.

The spelling of 82576680505 in words is "eighty-two billion, five hundred seventy-six million, six hundred eighty thousand, five hundred five".