871084872000 has 1344 divisors, whose sum is σ = 3713421803520. Its totient is φ = 190729728000.

The previous prime is 871084871983. The next prime is 871084872017. The reversal of 871084872000 is 278480178.

It is an interprime number because it is at equal distance from previous prime (871084871983) and next prime (871084872017).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1984247781 + ... + 1984248219.

Almost surely, 2^871084872000 is an apocalyptic number.

871084872000 is a gapful number since it is divisible by the number (80) 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 871084872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856710901760).

871084872000 is an abundant number, since it is smaller than the sum of its proper divisors (2842336931520).

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

871084872000 is a wasteful number, since it uses less digits than its factorization.

871084872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 871084872000 in words is "eight hundred seventy-one billion, eighty-four million, eight hundred seventy-two thousand".