871286829336 has 768 divisors, whose sum is σ = 3246034176000. Its totient is φ = 213532381440.

The previous prime is 871286829319. The next prime is 871286829349. The reversal of 871286829336 is 633928682178.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 679100551 + ... + 679101833.

It is an arithmetic number, because the mean of its divisors is an integer number (4226607000).

Almost surely, 2^871286829336 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 871286829336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623017088000).

871286829336 is an abundant number, since it is smaller than the sum of its proper divisors (2374747346664).

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

871286829336 is a wasteful number, since it uses less digits than its factorization.

871286829336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1632 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 871286829336 in words is "eight hundred seventy-one billion, two hundred eighty-six million, eight hundred twenty-nine thousand, three hundred thirty-six".