86172427168 has 48 divisors (see below), whose sum is σ = 179663770440. Its totient is φ = 40544444416.

The previous prime is 86172427127. The next prime is 86172427169.

86172427168 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 52912880784 + 33259546384 = 230028^2 + 182372^2 .

It is not an unprimeable number, because it can be changed into a prime (86172427169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4117980 + ... + 4138852.

Almost surely, 2^86172427168 is an apocalyptic number.

It is an amenable number.

86172427168 is an abundant number, since it is smaller than the sum of its proper divisors (93491343272).

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

86172427168 is a wasteful number, since it uses less digits than its factorization.

86172427168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28489 (or 28481 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 52.

The spelling of 86172427168 in words is "eighty-six billion, one hundred seventy-two million, four hundred twenty-seven thousand, one hundred sixty-eight".