86534843568 has 80 divisors (see below), whose sum is σ = 226711248480. Its totient is φ = 28437184512.

The previous prime is 86534843519. The next prime is 86534843597.

86534843568 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11100280 + ... + 11108072.

It is an arithmetic number, because the mean of its divisors is an integer number (2833890606).

Almost surely, 2^86534843568 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 86534843568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113355624240).

86534843568 is an abundant number, since it is smaller than the sum of its proper divisors (140176404912).

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

86534843568 is a wasteful number, since it uses less digits than its factorization.

86534843568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11046 (or 11040 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 60.

The spelling of 86534843568 in words is "eighty-six billion, five hundred thirty-four million, eight hundred forty-three thousand, five hundred sixty-eight".