871118411680 has 192 divisors, whose sum is σ = 2323720586880. Its totient is φ = 305690112000.

The previous prime is 871118411663. The next prime is 871118411717. The reversal of 871118411680 is 86114811178.

It is a self number, because there is not a number n which added to its sum of digits gives 871118411680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148880755 + ... + 148886605.

It is an arithmetic number, because the mean of its divisors is an integer number (12102711390).

Almost surely, 2^871118411680 is an apocalyptic number.

871118411680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871118411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161860293440).

871118411680 is an abundant number, since it is smaller than the sum of its proper divisors (1452602175200).

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

871118411680 is a wasteful number, since it uses less digits than its factorization.

871118411680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8823 (or 8815 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 46.

The spelling of 871118411680 in words is "eight hundred seventy-one billion, one hundred eighteen million, four hundred eleven thousand, six hundred eighty".