852768610872 has 96 divisors (see below), whose sum is σ = 2212036195200. Its totient is φ = 273948974208.

The previous prime is 852768610849. The next prime is 852768610891. The reversal of 852768610872 is 278016867258.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 11002029 + ... + 11079267.

It is an arithmetic number, because the mean of its divisors is an integer number (23042043700).

Almost surely, 2^852768610872 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 852768610872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106018097600).

852768610872 is an abundant number, since it is smaller than the sum of its proper divisors (1359267584328).

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

852768610872 is a wasteful number, since it uses less digits than its factorization.

852768610872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77853 (or 77820 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 852768610872 in words is "eight hundred fifty-two billion, seven hundred sixty-eight million, six hundred ten thousand, eight hundred seventy-two".