871896576000 has 416 divisors, whose sum is σ = 2995072045056. Its totient is φ = 224993280000.

The previous prime is 871896575999. The next prime is 871896576119. The reversal of 871896576000 is 675698178.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47606845 + ... + 47625155.

It is an arithmetic number, because the mean of its divisors is an integer number (7199692416).

Almost surely, 2^871896576000 is an apocalyptic number.

871896576000 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 871896576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497536022528).

871896576000 is an abundant number, since it is smaller than the sum of its proper divisors (2123175469056).

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

871896576000 is a wasteful number, since it uses less digits than its factorization.

871896576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18384 (or 18352 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The spelling of 871896576000 in words is "eight hundred seventy-one billion, eight hundred ninety-six million, five hundred seventy-six thousand".