86171008900 has 72 divisors (see below), whose sum is σ = 195151650120. Its totient is φ = 32985200640.

The previous prime is 86171008897. The next prime is 86171008927. The reversal of 86171008900 is 980017168.

It can be written as a sum of positive squares in 12 ways, for example, as 75871600704 + 10299408196 = 275448^2 + 101486^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196222 + ... + 459178.

It is an arithmetic number, because the mean of its divisors is an integer number (2710439585).

Almost surely, 2^86171008900 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 86171008900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97575825060).

86171008900 is an abundant number, since it is smaller than the sum of its proper divisors (108980641220).

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

86171008900 is a wasteful number, since it uses less digits than its factorization.

86171008900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263113 (or 263106 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 86171008900 in words is "eighty-six billion, one hundred seventy-one million, eight thousand, nine hundred".