86548699684568 has 128 divisors (see below), whose sum is σ = 180961065472320. Its totient is φ = 38476713000960.

The previous prime is 86548699684567. The next prime is 86548699684609.

It is a happy number.

86548699684568 is nontrivially palindromic in base 10.

86548699684568 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86548699684567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824589980 + ... + 824694932.

Almost surely, 2^{86548699684568} is an apocalyptic number.

86548699684568 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 86548699684568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90480532736160).

86548699684568 is an abundant number, since it is smaller than the sum of its proper divisors (94412365787752).

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

86548699684568 is a wasteful number, since it uses less digits than its factorization.

86548699684568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106117 (or 106113 counting only the distinct ones).

The product of its digits is 171992678400, while the sum is 92.

The spelling of 86548699684568 in words is "eighty-six trillion, five hundred forty-eight billion, six hundred ninety-nine million, six hundred eighty-four thousand, five hundred sixty-eight".