86567076568 has 96 divisors (see below), whose sum is σ = 191010830400. Its totient is φ = 36669696000.

The previous prime is 86567076553. The next prime is 86567076581.

86567076568 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28465128 + ... + 28468168.

It is an arithmetic number, because the mean of its divisors is an integer number (1989696150).

Almost surely, 2^86567076568 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 86567076568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95505415200).

86567076568 is an abundant number, since it is smaller than the sum of its proper divisors (104443753832).

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

86567076568 is a wasteful number, since it uses less digits than its factorization.

86567076568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 64.

The spelling of 86567076568 in words is "eighty-six billion, five hundred sixty-seven million, seventy-six thousand, five hundred sixty-eight".