871949113728 has 512 divisors, whose sum is σ = 2975671296000. Its totient is φ = 224243066880.

The previous prime is 871949113709. The next prime is 871949113811. The reversal of 871949113728 is 827311949178.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149226775 + ... + 149232617.

It is an arithmetic number, because the mean of its divisors is an integer number (5811858000).

Almost surely, 2^871949113728 is an apocalyptic number.

871949113728 is a gapful number since it is divisible by the number (88) 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 871949113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487835648000).

871949113728 is an abundant number, since it is smaller than the sum of its proper divisors (2103722182272).

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

871949113728 is a wasteful number, since it uses less digits than its factorization.

871949113728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5995 (or 5969 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 60.

The spelling of 871949113728 in words is "eight hundred seventy-one billion, nine hundred forty-nine million, one hundred thirteen thousand, seven hundred twenty-eight".