86775657768 has 48 divisors (see below), whose sum is σ = 237173550900. Its totient is φ = 28659847680.

The previous prime is 86775657671. The next prime is 86775657797.

86775657768 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 74781465444 + 11994192324 = 273462^2 + 109518^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86775657696 and 86775657705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5520673 + ... + 5536368.

Almost surely, 2^86775657768 is an apocalyptic number.

It is an amenable number.

86775657768 is an abundant number, since it is smaller than the sum of its proper divisors (150397893132).

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

86775657768 is a wasteful number, since it uses less digits than its factorization.

86775657768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11057162 (or 11057155 counting only the distinct ones).

The product of its digits is 829785600, while the sum is 72.

The spelling of 86775657768 in words is "eighty-six billion, seven hundred seventy-five million, six hundred fifty-seven thousand, seven hundred sixty-eight".