86765856768 has 72 divisors (see below), whose sum is σ = 250595777250. Its totient is φ = 28921946112.

The previous prime is 86765856707. The next prime is 86765856797.

86765856768 is a `hidden beast` number, since 8 + 6 + 7 + 6 + 58 + 567 + 6 + 8 = 666.

86765856768 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 69544018944 + 17221837824 = 263712^2 + 131232^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 86765856696 and 86765856705.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2335243 + ... + 2372106.

Almost surely, 2^86765856768 is an apocalyptic number.

It is an amenable number.

86765856768 is an abundant number, since it is smaller than the sum of its proper divisors (163829920482).

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

86765856768 is a wasteful number, since it uses less digits than its factorization.

86765856768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4707377 (or 4707354 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 72.

The spelling of 86765856768 in words is "eighty-six billion, seven hundred sixty-five million, eight hundred fifty-six thousand, seven hundred sixty-eight".