871408220256 has 240 divisors, whose sum is σ = 2930967879840. Its totient is φ = 248797992960.

The previous prime is 871408220201. The next prime is 871408220269. The reversal of 871408220256 is 652022804178.

871408220256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26855050 + ... + 26887478.

It is an arithmetic number, because the mean of its divisors is an integer number (12212366166).

Almost surely, 2^871408220256 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 871408220256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465483939920).

871408220256 is an abundant number, since it is smaller than the sum of its proper divisors (2059559659584).

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

871408220256 is a wasteful number, since it uses less digits than its factorization.

871408220256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33939 (or 33922 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 871408220256 in words is "eight hundred seventy-one billion, four hundred eight million, two hundred twenty thousand, two hundred fifty-six".