82386533568328 has 64 divisors (see below), whose sum is σ = 178580795904000. Its totient is φ = 35275218854400.

The previous prime is 82386533568289. The next prime is 82386533568349.

82386533568328 is nontrivially palindromic in base 10.

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, 393592008 + ... + 393801271.

It is an arithmetic number, because the mean of its divisors is an integer number (2790324936000).

Almost surely, 2^{82386533568328} is an apocalyptic number.

82386533568328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82386533568328 is an abundant number, since it is smaller than the sum of its proper divisors (96194262335672).

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

82386533568328 is a wasteful number, since it uses less digits than its factorization.

82386533568328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787393366 (or 787393362 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 70.

The spelling of 82386533568328 in words is "eighty-two trillion, three hundred eighty-six billion, five hundred thirty-three million, five hundred sixty-eight thousand, three hundred twenty-eight".