82786813638688 has 96 divisors (see below), whose sum is σ = 166037759556480. Its totient is φ = 40624195368960.

The previous prime is 82786813638649. The next prime is 82786813638743. The reversal of 82786813638688 is 88683631868728.

It is a super-2 number, since 2×82786813638688² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2724220998 + ... + 2724251386.

It is an arithmetic number, because the mean of its divisors is an integer number (1729559995380).

Almost surely, 2^{82786813638688} is an apocalyptic number.

It is an amenable number.

82786813638688 is an abundant number, since it is smaller than the sum of its proper divisors (83250945917792).

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

82786813638688 is a wasteful number, since it uses less digits than its factorization.

82786813638688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36210 (or 36202 counting only the distinct ones).

The product of its digits is 7134511104, while the sum is 82.

The spelling of 82786813638688 in words is "eighty-two trillion, seven hundred eighty-six billion, eight hundred thirteen million, six hundred thirty-eight thousand, six hundred eighty-eight".