86138883168 has 48 divisors (see below), whose sum is σ = 243508000176. Its totient is φ = 26504271360.

The previous prime is 86138883161. The next prime is 86138883209.

86138883168 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86138883161) 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, 34509523 + ... + 34512018.

It is an arithmetic number, because the mean of its divisors is an integer number (5073083337).

Almost surely, 2^86138883168 is an apocalyptic number.

It is an amenable number.

86138883168 is an abundant number, since it is smaller than the sum of its proper divisors (157369117008).

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

86138883168 is a wasteful number, since it uses less digits than its factorization.

86138883168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69021567 (or 69021559 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 60.

The spelling of 86138883168 in words is "eighty-six billion, one hundred thirty-eight million, eight hundred eighty-three thousand, one hundred sixty-eight".