82518985292292 has 72 divisors (see below), whose sum is σ = 219822486024960. Its totient is φ = 26028431352000.

The previous prime is 82518985292279. The next prime is 82518985292363. The reversal of 82518985292292 is 29229258981528.

82518985292292 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 8 + 9 + 8 + 529 + 2 + 2 + 92 = 666.

It is a super-2 number, since 2×82518985292292² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82518985292292.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69306459 + ... + 70487042.

It is an arithmetic number, because the mean of its divisors is an integer number (3053090083680).

Almost surely, 2^{82518985292292} is an apocalyptic number.

It is an amenable number.

82518985292292 is an abundant number, since it is smaller than the sum of its proper divisors (137303500732668).

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

82518985292292 is a wasteful number, since it uses less digits than its factorization.

82518985292292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139794393 (or 139794388 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 72.

The spelling of 82518985292292 in words is "eighty-two trillion, five hundred eighteen billion, nine hundred eighty-five million, two hundred ninety-two thousand, two hundred ninety-two".