872869948440 has 256 divisors, whose sum is σ = 3026013880320. Its totient is φ = 197302210560.

The previous prime is 872869948439. The next prime is 872869948453. The reversal of 872869948440 is 44849968278.

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 63 ways as a sum of consecutive naturals, for example, 33377770 + ... + 33403910.

It is an arithmetic number, because the mean of its divisors is an integer number (11820366720).

Almost surely, 2^872869948440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872869948440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513006940160).

872869948440 is an abundant number, since it is smaller than the sum of its proper divisors (2153143931880).

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

872869948440 is a wasteful number, since it uses less digits than its factorization.

872869948440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26602 (or 26598 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 69.

The spelling of 872869948440 in words is "eight hundred seventy-two billion, eight hundred sixty-nine million, nine hundred forty-eight thousand, four hundred forty".