871057071434112 has 256 divisors, whose sum is σ = 2514170468812800. Its totient is φ = 266188529664000.

The previous prime is 871057071434107. The next prime is 871057071434119. The reversal of 871057071434112 is 211434170750178.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871057071434119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10788781008 + ... + 10788861744.

It is an arithmetic number, because the mean of its divisors is an integer number (9820978393800).

Almost surely, 2^{871057071434112} 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 871057071434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257085234406400).

871057071434112 is an abundant number, since it is smaller than the sum of its proper divisors (1643113397378688).

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

871057071434112 is a wasteful number, since it uses less digits than its factorization.

871057071434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128505 (or 128493 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 51.

The spelling of 871057071434112 in words is "eight hundred seventy-one trillion, fifty-seven billion, seventy-one million, four hundred thirty-four thousand, one hundred twelve".