86171304128 has 224 divisors, whose sum is σ = 217934438400. Its totient is φ = 32885637120.

The previous prime is 86171304119. The next prime is 86171304133. The reversal of 86171304128 is 82140317168.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81063725 + ... + 81064787.

It is an arithmetic number, because the mean of its divisors is an integer number (972921600).

Almost surely, 2^86171304128 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 86171304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108967219200).

86171304128 is an abundant number, since it is smaller than the sum of its proper divisors (131763134272).

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

86171304128 is a wasteful number, since it uses less digits than its factorization.

86171304128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 86171304128 in words is "eighty-six billion, one hundred seventy-one million, three hundred four thousand, one hundred twenty-eight".