86795899859768 has 64 divisors (see below), whose sum is σ = 179163581184000. Its totient is φ = 39092724891520.

The previous prime is 86795899859737. The next prime is 86795899859819.

86795899859768 is nontrivially palindromic in base 10.

It is a congruent number.

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, 4656968 + ... + 13974231.

It is an arithmetic number, because the mean of its divisors is an integer number (2799430956000).

Almost surely, 2^{86795899859768} is an apocalyptic number.

86795899859768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86795899859768 is an abundant number, since it is smaller than the sum of its proper divisors (92367681324232).

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

86795899859768 is a wasteful number, since it uses less digits than its factorization.

86795899859768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18631700 (or 18631696 counting only the distinct ones).

The product of its digits is 1185137049600, while the sum is 104.

The spelling of 86795899859768 in words is "eighty-six trillion, seven hundred ninety-five billion, eight hundred ninety-nine million, eight hundred fifty-nine thousand, seven hundred sixty-eight".