86576667568 has 40 divisors (see below), whose sum is σ = 173448898560. Its totient is φ = 41820429120.

The previous prime is 86576667563. The next prime is 86576667607.

86576667568 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86576667497 and 86576667506.

It is not an unprimeable number, because it can be changed into a prime (86576667563) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 142473 + ... + 439831.

It is an arithmetic number, because the mean of its divisors is an integer number (4336222464).

Almost surely, 2^86576667568 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 86576667568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86724449280).

86576667568 is an abundant number, since it is smaller than the sum of its proper divisors (86872230992).

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

86576667568 is a wasteful number, since it uses less digits than its factorization.

86576667568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297985 (or 297979 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 70.

The spelling of 86576667568 in words is "eighty-six billion, five hundred seventy-six million, six hundred sixty-seven thousand, five hundred sixty-eight".