86566235616 has 288 divisors, whose sum is σ = 296802455040. Its totient is φ = 23379674112.

The previous prime is 86566235599. The next prime is 86566235627. The reversal of 86566235616 is 61653266568.

86566235616 is a `hidden beast` number, since 8 + 6 + 5 + 6 + 623 + 5 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 19264666 + ... + 19269158.

It is an arithmetic number, because the mean of its divisors is an integer number (1030564080).

Almost surely, 2^86566235616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86566235616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148401227520).

86566235616 is an abundant number, since it is smaller than the sum of its proper divisors (210236219424).

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

86566235616 is a wasteful number, since it uses less digits than its factorization.

86566235616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038 (or 5027 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 86566235616 in words is "eighty-six billion, five hundred sixty-six million, two hundred thirty-five thousand, six hundred sixteen".