82759579056 has 120 divisors (see below), whose sum is σ = 288762898944. Its totient is φ = 21495991680.

The previous prime is 82759579051. The next prime is 82759579069. The reversal of 82759579056 is 65097595728.

82759579056 is a `hidden beast` number, since 8 + 2 + 7 + 5 + 9 + 579 + 0 + 56 = 666.

It is a super-2 number, since 2×82759579056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 82759578984 and 82759579002.

It is not an unprimeable number, because it can be changed into a prime (82759579051) by changing a digit.

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, 3720856 + ... + 3743031.

Almost surely, 2^82759579056 is an apocalyptic number.

It is an amenable number.

82759579056 is an abundant number, since it is smaller than the sum of its proper divisors (206003319888).

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

82759579056 is a wasteful number, since it uses less digits than its factorization.

82759579056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7463919 (or 7463910 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 82759579056 in words is "eighty-two billion, seven hundred fifty-nine million, five hundred seventy-nine thousand, fifty-six".