871782912000 has 3744 divisors, whose sum is σ = 4453967516544. Its totient is φ = 167215104000.

The previous prime is 871782911953. The next prime is 871782912067. The reversal of 871782912000 is 219287178.

It is a tau number, because it is divible by the number of its divisors (3744).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 67060223994 + ... + 67060224006.

It is an arithmetic number, because the mean of its divisors is an integer number (1189628076).

Almost surely, 2^871782912000 is an apocalyptic number.

871782912000 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 871782912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226983758272).

871782912000 is an abundant number, since it is smaller than the sum of its proper divisors (3582184604544).

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

871782912000 is a wasteful number, since it uses less digits than its factorization.

871782912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 871782912000 in words is "eight hundred seventy-one billion, seven hundred eighty-two million, nine hundred twelve thousand".