852256978560 has 512 divisors, whose sum is σ = 3254284051200. Its totient is φ = 209548394496.

The previous prime is 852256978439. The next prime is 852256978571. The reversal of 852256978560 is 65879652258.

852256978560 is a `hidden beast` number, since 8 + 5 + 2 + 2 + 5 + 69 + 7 + 8 + 560 = 666.

852256978560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277878147 + ... + 277881213.

Almost surely, 2^852256978560 is an apocalyptic number.

852256978560 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 852256978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627142025600).

852256978560 is an abundant number, since it is smaller than the sum of its proper divisors (2402027072640).

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

852256978560 is a wasteful number, since it uses less digits than its factorization.

852256978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 852256978560 in words is "eight hundred fifty-two billion, two hundred fifty-six million, nine hundred seventy-eight thousand, five hundred sixty".