86121011012168 has 64 divisors (see below), whose sum is σ = 176491765235520. Its totient is φ = 39071467008000.

The previous prime is 86121011012161. The next prime is 86121011012171.

86121011012168 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (86121011012161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224211896 + ... + 224595672.

It is an arithmetic number, because the mean of its divisors is an integer number (2757683831805).

Almost surely, 2^{86121011012168} is an apocalyptic number.

86121011012168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86121011012168 is an abundant number, since it is smaller than the sum of its proper divisors (90370754223352).

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

86121011012168 is a wasteful number, since it uses less digits than its factorization.

86121011012168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388638 (or 388634 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 38.

It can be divided in two parts, 8612101 and 1012168, that added together give a palindrome (9624269).

The spelling of 86121011012168 in words is "eighty-six trillion, one hundred twenty-one billion, eleven million, twelve thousand, one hundred sixty-eight".