86001600864 has 24 divisors (see below), whose sum is σ = 225754202520. Its totient is φ = 28667200256.

The previous prime is 86001600827. The next prime is 86001600871. The reversal of 86001600864 is 46800610068.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 447924909 + ... + 447925100.

It is an arithmetic number, because the mean of its divisors is an integer number (9406425105).

Almost surely, 2^86001600864 is an apocalyptic number.

It is an amenable number.

86001600864 is an abundant number, since it is smaller than the sum of its proper divisors (139752601656).

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

86001600864 is a wasteful number, since it uses less digits than its factorization.

86001600864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895850022 (or 895850014 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 86001600864 in words is "eighty-six billion, one million, six hundred thousand, eight hundred sixty-four".