86892312802768 has 40 divisors (see below), whose sum is σ = 183659667350400. Its totient is φ = 39496308983040.

The previous prime is 86892312802751. The next prime is 86892312802783. The reversal of 86892312802768 is 86720821329868.

86892312802768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 86892312802697 and 86892312802706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37670196 + ... + 39910252.

It is an arithmetic number, because the mean of its divisors is an integer number (4591491683760).

Almost surely, 2^{86892312802768} is an apocalyptic number.

86892312802768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86892312802768 is an abundant number, since it is smaller than the sum of its proper divisors (96767354547632).

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

86892312802768 is a wasteful number, since it uses less digits than its factorization.

86892312802768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460475 (or 2460469 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 70.

The spelling of 86892312802768 in words is "eighty-six trillion, eight hundred ninety-two billion, three hundred twelve million, eight hundred two thousand, seven hundred sixty-eight".