86722822768 has 80 divisors (see below), whose sum is σ = 173694240000. Its totient is φ = 41925703680.

The previous prime is 86722822757. The next prime is 86722822783.

86722822768 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33443680 + ... + 33446272.

It is an arithmetic number, because the mean of its divisors is an integer number (2171178000).

Almost surely, 2^86722822768 is an apocalyptic number.

It is an amenable number.

86722822768 is an abundant number, since it is smaller than the sum of its proper divisors (86971417232).

86722822768 is a wasteful number, since it uses less digits than its factorization.

86722822768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3224 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 58.

The spelling of 86722822768 in words is "eighty-six billion, seven hundred twenty-two million, eight hundred twenty-two thousand, seven hundred sixty-eight".