86651921664 has 1296 divisors, whose sum is σ = 348014056320. Its totient is φ = 20802355200.

The previous prime is 86651921651. The next prime is 86651921669. The reversal of 86651921664 is 46612915668.

86651921664 is a `hidden beast` number, since 8 + 66 + 519 + 2 + 1 + 6 + 64 = 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 86651921664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86651921669) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2113461484 + ... + 2113461524.

Almost surely, 2^86651921664 is an apocalyptic number.

86651921664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86651921664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174007028160).

86651921664 is an abundant number, since it is smaller than the sum of its proper divisors (261362134656).

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

86651921664 is a wasteful number, since it uses less digits than its factorization.

86651921664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 83 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 86651921664 in words is "eighty-six billion, six hundred fifty-one million, nine hundred twenty-one thousand, six hundred sixty-four".