856853459804160 has 3584 divisors, whose sum is σ = 3819795481958400. Its totient is φ = 179642912735232.

The previous prime is 856853459804129. The next prime is 856853459804183. The reversal of 856853459804160 is 61408954358658.

856853459804160 is a `hidden beast` number, since 8 + 5 + 6 + 8 + 5 + 3 + 459 + 8 + 0 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 255 ways as a sum of consecutive naturals, for example, 2094996234036 + ... + 2094996234444.

It is an arithmetic number, because the mean of its divisors is an integer number (1065791150100).

Almost surely, 2^{856853459804160} is an apocalyptic number.

856853459804160 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 856853459804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909897740979200).

856853459804160 is an abundant number, since it is smaller than the sum of its proper divisors (2962942022154240).

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

856853459804160 is an equidigital number, since it uses as much as digits as its factorization.

856853459804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 995328000, while the sum is 72.

The spelling of 856853459804160 in words is "eight hundred fifty-six trillion, eight hundred fifty-three billion, four hundred fifty-nine million, eight hundred four thousand, one hundred sixty".