865286682568 has 96 divisors (see below), whose sum is σ = 2042618256000. Its totient is φ = 336372664320.

The previous prime is 865286682529. The next prime is 865286682587.

865286682568 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 865286682497 and 865286682506.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2900221 + ... + 3184627.

It is an arithmetic number, because the mean of its divisors is an integer number (21277273500).

Almost surely, 2^865286682568 is an apocalyptic number.

865286682568 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 865286682568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021309128000).

865286682568 is an abundant number, since it is smaller than the sum of its proper divisors (1177331573432).

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

865286682568 is a wasteful number, since it uses less digits than its factorization.

865286682568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284891 (or 284876 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 70.

The spelling of 865286682568 in words is "eight hundred sixty-five billion, two hundred eighty-six million, six hundred eighty-two thousand, five hundred sixty-eight".