86781418768 has 120 divisors (see below), whose sum is σ = 187328010240. Its totient is φ = 38912544000.

The previous prime is 86781418751. The next prime is 86781418813.

86781418768 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67850353 + ... + 67851631.

It is an arithmetic number, because the mean of its divisors is an integer number (1561066752).

Almost surely, 2^86781418768 is an apocalyptic number.

86781418768 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 86781418768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93664005120).

86781418768 is an abundant number, since it is smaller than the sum of its proper divisors (100546591472).

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

86781418768 is a wasteful number, since it uses less digits than its factorization.

86781418768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1740 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 64.

The spelling of 86781418768 in words is "eighty-six billion, seven hundred eighty-one million, four hundred eighteen thousand, seven hundred sixty-eight".