871383832704 has 768 divisors, whose sum is σ = 3364746428160. Its totient is φ = 209505484800.

The previous prime is 871383832699. The next prime is 871383832717. The reversal of 871383832704 is 407238383178.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91981312 + ... + 91990784.

It is an arithmetic number, because the mean of its divisors is an integer number (4381180245).

Almost surely, 2^871383832704 is an apocalyptic number.

871383832704 is a gapful number since it is divisible by the number (84) 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 871383832704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682373214080).

871383832704 is an abundant number, since it is smaller than the sum of its proper divisors (2493362595456).

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

871383832704 is a wasteful number, since it uses less digits than its factorization.

871383832704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9589 (or 9574 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 871383832704 in words is "eight hundred seventy-one billion, three hundred eighty-three million, eight hundred thirty-two thousand, seven hundred four".