86133355333168 has 160 divisors (see below), whose sum is σ = 202416656504832. Its totient is φ = 34968297369600.

The previous prime is 86133355333163. The next prime is 86133355333177.

86133355333168 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (86133355333163) 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, 443699455 + ... + 443893537.

Almost surely, 2^{86133355333168} is an apocalyptic number.

86133355333168 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 86133355333168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101208328252416).

86133355333168 is an abundant number, since it is smaller than the sum of its proper divisors (116283301171664).

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

86133355333168 is a wasteful number, since it uses less digits than its factorization.

86133355333168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200403 (or 200397 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 58.

The spelling of 86133355333168 in words is "eighty-six trillion, one hundred thirty-three billion, three hundred fifty-five million, three hundred thirty-three thousand, one hundred sixty-eight".