86582686905 has 48 divisors (see below), whose sum is σ = 176313848256. Its totient is φ = 38750290560.

The previous prime is 86582686889. The next prime is 86582686909. The reversal of 86582686905 is 50968628568.

It is not a de Polignac number, because 86582686905 - 2⁴ = 86582686889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86582686909) 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 47 ways as a sum of consecutive naturals, for example, 6721047 + ... + 6733916.

It is an arithmetic number, because the mean of its divisors is an integer number (3673205172).

Almost surely, 2^86582686905 is an apocalyptic number.

It is an amenable number.

86582686905 is an abundant number, since it is smaller than the sum of its proper divisors (89731161351).

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

86582686905 is a wasteful number, since it uses less digits than its factorization.

86582686905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13454998 (or 13454995 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 86582686905 in words is "eighty-six billion, five hundred eighty-two million, six hundred eighty-six thousand, nine hundred five".