853826281308 has 2304 divisors, whose sum is σ = 3459494707200. Its totient is φ = 176135731200.

The previous prime is 853826281271. The next prime is 853826281337. The reversal of 853826281308 is 803182628358.

853826281308 is a `hidden beast` number, since 8 + 5 + 3 + 8 + 2 + 628 + 1 + 3 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 767 ways as a sum of consecutive naturals, for example, 16109929810 + ... + 16109929862.

It is an arithmetic number, because the mean of its divisors is an integer number (1501516800).

Almost surely, 2^853826281308 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 853826281308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729747353600).

853826281308 is an abundant number, since it is smaller than the sum of its proper divisors (2605668425892).

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

853826281308 is a wasteful number, since it uses less digits than its factorization.

853826281308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 853826281308 in words is "eight hundred fifty-three billion, eight hundred twenty-six million, two hundred eighty-one thousand, three hundred eight".