86086575168 has 224 divisors, whose sum is σ = 263031183360. Its totient is φ = 24600791040.

The previous prime is 86086575103. The next prime is 86086575193. The reversal of 86086575168 is 86157568068.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2617321 + ... + 2650007.

Almost surely, 2^86086575168 is an apocalyptic number.

86086575168 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 86086575168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131515591680).

86086575168 is an abundant number, since it is smaller than the sum of its proper divisors (176944608192).

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

86086575168 is a wasteful number, since it uses less digits than its factorization.

86086575168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32785 (or 32775 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 86086575168 in words is "eighty-six billion, eighty-six million, five hundred seventy-five thousand, one hundred sixty-eight".