86777744777768 has 64 divisors (see below), whose sum is σ = 179333815086720. Its totient is φ = 39036918067200.

The previous prime is 86777744777747. The next prime is 86777744777771.

86777744777768 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, 529073180 + ... + 529237172.

It is an arithmetic number, because the mean of its divisors is an integer number (2802090860730).

Almost surely, 2^{86777744777768} is an apocalyptic number.

86777744777768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86777744777768 is an abundant number, since it is smaller than the sum of its proper divisors (92556070308952).

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

86777744777768 is a wasteful number, since it uses less digits than its factorization.

86777744777768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226098 (or 226094 counting only the distinct ones).

The product of its digits is 212513624064, while the sum is 92.

The spelling of 86777744777768 in words is "eighty-six trillion, seven hundred seventy-seven billion, seven hundred forty-four million, seven hundred seventy-seven thousand, seven hundred sixty-eight".