86586976896 has 128 divisors (see below), whose sum is σ = 271917475200. Its totient is φ = 23886041088.

The previous prime is 86586976891. The next prime is 86586976907. The reversal of 86586976896 is 69867968568.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (86586976891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477435 + ... + 633338.

It is an arithmetic number, because the mean of its divisors is an integer number (2124355275).

Almost surely, 2^86586976896 is an apocalyptic number.

It is an amenable number.

86586976896 is an abundant number, since it is smaller than the sum of its proper divisors (185330498304).

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

86586976896 is a wasteful number, since it uses less digits than its factorization.

86586976896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110826 (or 1110814 counting only the distinct ones).

The product of its digits is 1881169920, while the sum is 78.

The spelling of 86586976896 in words is "eighty-six billion, five hundred eighty-six million, nine hundred seventy-six thousand, eight hundred ninety-six".