82352185658082 has 24 divisors (see below), whose sum is σ = 179208904752540. Its totient is φ = 27330856374240.

The previous prime is 82352185658063. The next prime is 82352185658143. The reversal of 82352185658082 is 28085658125328.

82352185658082 is a `hidden beast` number, since 8 + 2 + 3 + 52 + 18 + 565 + 8 + 0 + 8 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54862182423801 + 27490003234281 = 7406901^2 + 5243091^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9989343969 + ... + 9989352212.

Almost surely, 2^{82352185658082} is an apocalyptic number.

82352185658082 is an abundant number, since it is smaller than the sum of its proper divisors (96856719094458).

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

82352185658082 is a wasteful number, since it uses less digits than its factorization.

82352185658082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19978696418 (or 19978696415 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 82352185658082 in words is "eighty-two trillion, three hundred fifty-two billion, one hundred eighty-five million, six hundred fifty-eight thousand, eighty-two".