86715577551768 has 128 divisors (see below), whose sum is σ = 239575334342400. Its totient is φ = 25937599449600.

The previous prime is 86715577551751. The next prime is 86715577551803.

86715577551768 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86715577551693 and 86715577551702.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 481303 + ... + 13178118.

It is an arithmetic number, because the mean of its divisors is an integer number (1871682299550).

Almost surely, 2^{86715577551768} is an apocalyptic number.

86715577551768 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 86715577551768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119787667171200).

86715577551768 is an abundant number, since it is smaller than the sum of its proper divisors (152859756790632).

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

86715577551768 is a wasteful number, since it uses less digits than its factorization.

86715577551768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13659753 (or 13659749 counting only the distinct ones).

The product of its digits is 3457440000, while the sum is 78.

The spelling of 86715577551768 in words is "eighty-six trillion, seven hundred fifteen billion, five hundred seventy-seven million, five hundred fifty-one thousand, seven hundred sixty-eight".