86565983868 has 216 divisors, whose sum is σ = 279961561152. Its totient is φ = 22344553728.

The previous prime is 86565983857. The next prime is 86565983869. The reversal of 86565983868 is 86838956568.

It is a junction number, because it is equal to n+sod(n) for n = 86565983796 and 86565983805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86565983869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1037646 + ... + 1117962.

Almost surely, 2^86565983868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86565983868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139980780576).

86565983868 is an abundant number, since it is smaller than the sum of its proper divisors (193395577284).

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

86565983868 is a wasteful number, since it uses less digits than its factorization.

86565983868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80401 (or 80389 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 86565983868 in words is "eighty-six billion, five hundred sixty-five million, nine hundred eighty-three thousand, eight hundred sixty-eight".