82859496768 has 84 divisors (see below), whose sum is σ = 247827991008. Its totient is φ = 26418965760.

The previous prime is 82859496751. The next prime is 82859496803. The reversal of 82859496768 is 86769495828.

82859496768 is a `hidden beast` number, since 8 + 28 + 59 + 496 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 82859496696 and 82859496705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3113998 + ... + 3140493.

Almost surely, 2^82859496768 is an apocalyptic number.

It is an amenable number.

82859496768 is an abundant number, since it is smaller than the sum of its proper divisors (164968494240).

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

82859496768 is a wasteful number, since it uses less digits than its factorization.

82859496768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254532 (or 6254519 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 82859496768 in words is "eighty-two billion, eight hundred fifty-nine million, four hundred ninety-six thousand, seven hundred sixty-eight".