86279897268 has 18 divisors (see below), whose sum is σ = 218096407074. Its totient is φ = 28759965744.

The previous prime is 86279897261. The next prime is 86279897293.

86279897268 is a `hidden beast` number, since 8 + 6 + 279 + 8 + 97 + 268 = 666.

86279897268 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 55412218404 + 30867678864 = 235398^2 + 175692^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 86279897196 and 86279897205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86279897261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1198331871 + ... + 1198331942.

Almost surely, 2^86279897268 is an apocalyptic number.

It is an amenable number.

86279897268 is an abundant number, since it is smaller than the sum of its proper divisors (131816509806).

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

86279897268 is a wasteful number, since it uses less digits than its factorization.

86279897268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396663823 (or 2396663818 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 86279897268 in words is "eighty-six billion, two hundred seventy-nine million, eight hundred ninety-seven thousand, two hundred sixty-eight".