86761816768 has 84 divisors (see below), whose sum is σ = 190498319536. Its totient is φ = 39175488000.

The previous prime is 86761816693. The next prime is 86761816787.

86761816768 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86761816768² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1132246 + ... + 1206442.

Almost surely, 2^86761816768 is an apocalyptic number.

86761816768 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 86761816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95249159768).

86761816768 is an abundant number, since it is smaller than the sum of its proper divisors (103736502768).

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

86761816768 is a wasteful number, since it uses less digits than its factorization.

86761816768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74382 (or 74361 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 64.

The spelling of 86761816768 in words is "eighty-six billion, seven hundred sixty-one million, eight hundred sixteen thousand, seven hundred sixty-eight".