86865656868 has 36 divisors (see below), whose sum is σ = 219998577708. Its totient is φ = 28899636480.

The previous prime is 86865656861. The next prime is 86865656869.

86865656868 is a `hidden beast` number, since 8 + 6 + 8 + 6 + 56 + 568 + 6 + 8 = 666.

86865656868 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 17207667684 + 69657989184 = 131178^2 + 263928^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 86865656796 and 86865656805.

It is not an unprimeable number, because it can be changed into a prime (86865656861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2296921 + ... + 2334432.

It is an arithmetic number, because the mean of its divisors is an integer number (6111071603).

Almost surely, 2^86865656868 is an apocalyptic number.

It is an amenable number.

86865656868 is an abundant number, since it is smaller than the sum of its proper divisors (133132920840).

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

86865656868 is a wasteful number, since it uses less digits than its factorization.

86865656868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631884 (or 4631879 counting only the distinct ones).

The product of its digits is 796262400, while the sum is 72.

The spelling of 86865656868 in words is "eighty-six billion, eight hundred sixty-five million, six hundred fifty-six thousand, eight hundred sixty-eight".