856245020904 has 1280 divisors, whose sum is σ = 3267278784000. Its totient is φ = 203730702336.

The previous prime is 856245020903. The next prime is 856245020957. The reversal of 856245020904 is 409020542658.

856245020904 is a `hidden beast` number, since 8 + 56 + 2 + 4 + 502 + 0 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 856245020904.

It is not an unprimeable number, because it can be changed into a prime (856245020903) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 11729383812 + ... + 11729383884.

It is an arithmetic number, because the mean of its divisors is an integer number (2552561550).

Almost surely, 2^856245020904 is an apocalyptic number.

856245020904 is a gapful number since it is divisible by the number (84) 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 856245020904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633639392000).

856245020904 is an abundant number, since it is smaller than the sum of its proper divisors (2411033763096).

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

856245020904 is a wasteful number, since it uses less digits than its factorization.

856245020904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 856245020904 in words is "eight hundred fifty-six billion, two hundred forty-five million, twenty thousand, nine hundred four".