871232889600 has 540 divisors, whose sum is σ = 3231551707384. Its totient is φ = 231592919040.

The previous prime is 871232889587. The next prime is 871232889727. The reversal of 871232889600 is 6988232178.

It is a happy number.

871232889600 is a `hidden beast` number, since 8 + 7 + 1 + 2 + 3 + 28 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

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 59 ways as a sum of consecutive naturals, for example, 174698307 + ... + 174703293.

Almost surely, 2^871232889600 is an apocalyptic number.

871232889600 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 871232889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615775853692).

871232889600 is an abundant number, since it is smaller than the sum of its proper divisors (2360318817784).

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

871232889600 is a wasteful number, since it uses less digits than its factorization.

871232889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 871232889600 in words is "eight hundred seventy-one billion, two hundred thirty-two million, eight hundred eighty-nine thousand, six hundred".