86876267868 has 144 divisors (see below), whose sum is σ = 239286247200. Its totient is φ = 26416857600.

The previous prime is 86876267867. The next prime is 86876267887.

86876267868 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86876267796 and 86876267805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86876267867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31148218 + ... + 31151006.

It is an arithmetic number, because the mean of its divisors is an integer number (1661710050).

Almost surely, 2^86876267868 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 86876267868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119643123600).

86876267868 is an abundant number, since it is smaller than the sum of its proper divisors (152409979332).

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

86876267868 is a wasteful number, since it uses less digits than its factorization.

86876267868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3567 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 86876267868 in words is "eighty-six billion, eight hundred seventy-six million, two hundred sixty-seven thousand, eight hundred sixty-eight".