852419005056 has 768 divisors, whose sum is σ = 2736576311040. Its totient is φ = 253832527872.

The previous prime is 852419005049. The next prime is 852419005063. The reversal of 852419005056 is 650500914258.

852419005056 is a `hidden beast` number, since 8 + 52 + 4 + 1 + 90 + 0 + 505 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (852419005049) and next prime (852419005063).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3077324790 + ... + 3077325066.

It is an arithmetic number, because the mean of its divisors is an integer number (3563250405).

Almost surely, 2^852419005056 is an apocalyptic number.

852419005056 is a gapful number since it is divisible by the number (86) 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 852419005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368288155520).

852419005056 is an abundant number, since it is smaller than the sum of its proper divisors (1884157305984).

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

852419005056 is a wasteful number, since it uses less digits than its factorization.

852419005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 852419005056 in words is "eight hundred fifty-two billion, four hundred nineteen million, five thousand, fifty-six".