878517568896 has 768 divisors, whose sum is σ = 2850553036800. Its totient is φ = 238527590400.

The previous prime is 878517568871. The next prime is 878517568913. The reversal of 878517568896 is 698865715878.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1286262571 + ... + 1286263253.

It is an arithmetic number, because the mean of its divisors is an integer number (3711657600).

Almost surely, 2^878517568896 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 878517568896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425276518400).

878517568896 is an abundant number, since it is smaller than the sum of its proper divisors (1972035467904).

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

878517568896 is a wasteful number, since it uses less digits than its factorization.

878517568896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 796 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 78.

The spelling of 878517568896 in words is "eight hundred seventy-eight billion, five hundred seventeen million, five hundred sixty-eight thousand, eight hundred ninety-six".