872559088128 has 640 divisors, whose sum is σ = 3365949565440. Its totient is φ = 216583372800.

The previous prime is 872559088103. The next prime is 872559088189. The reversal of 872559088128 is 821880955278.

872559088128 is a `hidden beast` number, since 8 + 7 + 25 + 590 + 8 + 8 + 12 + 8 = 666.

It is a super-2 number, since 2×872559088128² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 21365328 + ... + 21406128.

It is an arithmetic number, because the mean of its divisors is an integer number (5259296196).

Almost surely, 2^872559088128 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 872559088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682974782720).

872559088128 is an abundant number, since it is smaller than the sum of its proper divisors (2493390477312).

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

872559088128 is a wasteful number, since it uses less digits than its factorization.

872559088128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40865 (or 40843 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 872559088128 in words is "eight hundred seventy-two billion, five hundred fifty-nine million, eighty-eight thousand, one hundred twenty-eight".