82929069788688 has 60 divisors (see below), whose sum is σ = 232087238226480. Its totient is φ = 27642901526208.

The previous prime is 82929069788629. The next prime is 82929069788699. The reversal of 82929069788688 is 88688796092928.

82929069788688 is a `hidden beast` number, since 82 + 9 + 290 + 6 + 97 + 8 + 86 + 88 = 666.

It is a super-2 number, since 2×82929069788688² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82929069788598 and 82929069788607.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35165995 + ... + 37450037.

It is an arithmetic number, because the mean of its divisors is an integer number (3868120637108).

Almost surely, 2^{82929069788688} is an apocalyptic number.

It is an amenable number.

82929069788688 is an abundant number, since it is smaller than the sum of its proper divisors (149158168437792).

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

82929069788688 is a wasteful number, since it uses less digits than its factorization.

82929069788688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536196 (or 2536187 counting only the distinct ones).

The product of its (nonzero) digits is 24078974976, while the sum is 90.

The spelling of 82929069788688 in words is "eighty-two trillion, nine hundred twenty-nine billion, sixty-nine million, seven hundred eighty-eight thousand, six hundred eighty-eight".