86584648568 has 80 divisors (see below), whose sum is σ = 180338636400. Its totient is φ = 38969124480.

The previous prime is 86584648547. The next prime is 86584648583.

It is a happy number.

86584648568 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86584648498 and 86584648507.

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 19 ways as a sum of consecutive naturals, for example, 12060596 + ... + 12067772.

It is an arithmetic number, because the mean of its divisors is an integer number (2254232955).

Almost surely, 2^86584648568 is an apocalyptic number.

86584648568 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 86584648568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90169318200).

86584648568 is an abundant number, since it is smaller than the sum of its proper divisors (93753987832).

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

86584648568 is a wasteful number, since it uses less digits than its factorization.

86584648568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7330 (or 7293 counting only the distinct ones).

The product of its digits is 353894400, while the sum is 68.

The spelling of 86584648568 in words is "eighty-six billion, five hundred eighty-four million, six hundred forty-eight thousand, five hundred sixty-eight".