86781618768 has 320 divisors, whose sum is σ = 266241959424. Its totient is φ = 24109056000.

The previous prime is 86781618739. The next prime is 86781618793.

It is a happy number.

86781618768 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86781618699 and 86781618708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26528973 + ... + 26532243.

Almost surely, 2^86781618768 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 86781618768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133120979712).

86781618768 is an abundant number, since it is smaller than the sum of its proper divisors (179460340656).

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

86781618768 is a wasteful number, since it uses less digits than its factorization.

86781618768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3408 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 66.

The spelling of 86781618768 in words is "eighty-six billion, seven hundred eighty-one million, six hundred eighteen thousand, seven hundred sixty-eight".