86205881664 has 140 divisors (see below), whose sum is σ = 292047253344. Its totient is φ = 24630241536.

The previous prime is 86205881651. The next prime is 86205881669. The reversal of 86205881664 is 46618850268.

86205881664 is a `hidden beast` number, since 8 + 620 + 5 + 8 + 8 + 1 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 86205881664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86205881669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1151514 + ... + 1224089.

Almost surely, 2^86205881664 is an apocalyptic number.

86205881664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

86205881664 is an abundant number, since it is smaller than the sum of its proper divisors (205841371680).

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

86205881664 is a wasteful number, since it uses less digits than its factorization.

86205881664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375634 (or 2375615 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 86205881664 in words is "eighty-six billion, two hundred five million, eight hundred eighty-one thousand, six hundred sixty-four".