86564661624 has 192 divisors, whose sum is σ = 273344547840. Its totient is φ = 24238725120.

The previous prime is 86564661581. The next prime is 86564661647. The reversal of 86564661624 is 42616646568.

86564661624 is a `hidden beast` number, since 8 + 6 + 5 + 6 + 4 + 6 + 6 + 1 + 624 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5026869 + ... + 5044059.

It is an arithmetic number, because the mean of its divisors is an integer number (1423669520).

Almost surely, 2^86564661624 is an apocalyptic number.

86564661624 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 86564661624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136672273920).

86564661624 is an abundant number, since it is smaller than the sum of its proper divisors (186779886216).

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

86564661624 is a wasteful number, since it uses less digits than its factorization.

86564661624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17410 (or 17403 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 86564661624 in words is "eighty-six billion, five hundred sixty-four million, six hundred sixty-one thousand, six hundred twenty-four".