871964187600 has 240 divisors, whose sum is σ = 3072306913344. Its totient is φ = 211384870400.

The previous prime is 871964187587. The next prime is 871964187631. The reversal of 871964187600 is 6781469178.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1324234 + ... + 1870166.

Almost surely, 2^871964187600 is an apocalyptic number.

871964187600 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 871964187600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536153456672).

871964187600 is an abundant number, since it is smaller than the sum of its proper divisors (2200342725744).

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

871964187600 is a wasteful number, since it uses less digits than its factorization.

871964187600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545987 (or 545954 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 871964187600 in words is "eight hundred seventy-one billion, nine hundred sixty-four million, one hundred eighty-seven thousand, six hundred".