86881834172 has 48 divisors (see below), whose sum is σ = 179842897920. Its totient is φ = 35938728000.

The previous prime is 86881834163. The next prime is 86881834231. The reversal of 86881834172 is 27143818868.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196922 + ... + 461022.

It is an arithmetic number, because the mean of its divisors is an integer number (3746727040).

Almost surely, 2^86881834172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86881834172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89921448960).

86881834172 is an abundant number, since it is smaller than the sum of its proper divisors (92961063748).

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

86881834172 is a wasteful number, since it uses less digits than its factorization.

86881834172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264522 (or 264520 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 56.

The spelling of 86881834172 in words is "eighty-six billion, eight hundred eighty-one million, eight hundred thirty-four thousand, one hundred seventy-two".