86567466476568 has 256 divisors, whose sum is σ = 272745072230400. Its totient is φ = 22242036810240.

The previous prime is 86567466476563. The next prime is 86567466476599.

86567466476568 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86567466476563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121915221 + ... + 122623227.

It is an arithmetic number, because the mean of its divisors is an integer number (1065410438400).

Almost surely, 2^{86567466476568} is an apocalyptic number.

86567466476568 is a gapful number since it is divisible by the number (88) 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 86567466476568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136372536115200).

86567466476568 is an abundant number, since it is smaller than the sum of its proper divisors (186177605753832).

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

86567466476568 is a wasteful number, since it uses less digits than its factorization.

86567466476568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708750 (or 708746 counting only the distinct ones).

The product of its digits is 58525286400, while the sum is 84.

The spelling of 86567466476568 in words is "eighty-six trillion, five hundred sixty-seven billion, four hundred sixty-six million, four hundred seventy-six thousand, five hundred sixty-eight".