871221681792 has 1280 divisors, whose sum is σ = 3393832780800. Its totient is φ = 215289446400.

The previous prime is 871221681773. The next prime is 871221681821. The reversal of 871221681792 is 297186122178.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1407466059 + ... + 1407466677.

It is an arithmetic number, because the mean of its divisors is an integer number (2651431860).

Almost surely, 2^871221681792 is an apocalyptic number.

871221681792 is a gapful number since it is divisible by the number (82) 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 871221681792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696916390400).

871221681792 is an abundant number, since it is smaller than the sum of its proper divisors (2522611099008).

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

871221681792 is a wasteful number, since it uses less digits than its factorization.

871221681792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 726 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The spelling of 871221681792 in words is "eight hundred seventy-one billion, two hundred twenty-one million, six hundred eighty-one thousand, seven hundred ninety-two".