82800412672165 has 8 divisors (see below), whose sum is σ = 99361671452280. Its totient is φ = 66239545973952.

The previous prime is 82800412672157. The next prime is 82800412672213. The reversal of 82800412672165 is 56127621400828.

It can be written as a sum of positive squares in 4 ways, for example, as 9275155524196 + 73525257147969 = 3045514^2 + 8574687^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82800412672165 - 2³ = 82800412672157 is a prime.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 97555674 + ... + 98400763.

It is an arithmetic number, because the mean of its divisors is an integer number (12420208931535).

Almost surely, 2^{82800412672165} is an apocalyptic number.

It is an amenable number.

82800412672165 is a deficient number, since it is larger than the sum of its proper divisors (16561258780115).

82800412672165 is a wasteful number, since it uses less digits than its factorization.

82800412672165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196040951.

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 82800412672165 in words is "eighty-two trillion, eight hundred billion, four hundred twelve million, six hundred seventy-two thousand, one hundred sixty-five".