86968599586968 has 256 divisors, whose sum is σ = 252059711846400. Its totient is φ = 24713133096960.

The previous prime is 86968599586909. The next prime is 86968599586991.

86968599586968 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (102).

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, 1398425218 + ... + 1398487406.

It is an arithmetic number, because the mean of its divisors is an integer number (984608249400).

Almost surely, 2^{86968599586968} is an apocalyptic number.

86968599586968 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 86968599586968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126029855923200).

86968599586968 is an abundant number, since it is smaller than the sum of its proper divisors (165091112259432).

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

86968599586968 is a wasteful number, since it uses less digits than its factorization.

86968599586968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63362 (or 63358 counting only the distinct ones).

The product of its digits is 870712934400, while the sum is 102.

The spelling of 86968599586968 in words is "eighty-six trillion, nine hundred sixty-eight billion, five hundred ninety-nine million, five hundred eighty-six thousand, nine hundred sixty-eight".