86004142686 has 128 divisors (see below), whose sum is σ = 241296998400. Its totient is φ = 22055885280.

The previous prime is 86004142661. The next prime is 86004142717. The reversal of 86004142686 is 68624140068.

86004142686 is a `hidden beast` number, since 8 + 600 + 4 + 14 + 26 + 8 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197571 + ... + 459393.

It is an arithmetic number, because the mean of its divisors is an integer number (1885132800).

Almost surely, 2^86004142686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86004142686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120648499200).

86004142686 is an abundant number, since it is smaller than the sum of its proper divisors (155292855714).

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

86004142686 is a wasteful number, since it uses less digits than its factorization.

86004142686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261931 (or 261925 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 86004142686 in words is "eighty-six billion, four million, one hundred forty-two thousand, six hundred eighty-six".