855090782208 has 672 divisors, whose sum is σ = 2816638755840. Its totient is φ = 247973806080.

The previous prime is 855090782201. The next prime is 855090782261. The reversal of 855090782208 is 802287090558.

855090782208 is a `hidden beast` number, since 8 + 550 + 9 + 0 + 7 + 82 + 2 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855090782201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1741528843 + ... + 1741529333.

It is an arithmetic number, because the mean of its divisors is an integer number (4191426720).

Almost surely, 2^855090782208 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 855090782208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408319377920).

855090782208 is an abundant number, since it is smaller than the sum of its proper divisors (1961547973632).

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

855090782208 is a wasteful number, since it uses less digits than its factorization.

855090782208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 855090782208 in words is "eight hundred fifty-five billion, ninety million, seven hundred eighty-two thousand, two hundred eight".