8585205552 has 560 divisors, whose sum is σ = 31747015680. Its totient is φ = 2201696640.

The previous prime is 8585205529. The next prime is 8585205553. The reversal of 8585205552 is 2555025858.

It is a junction number, because it is equal to n+sod(n) for n = 8585205498 and 8585205507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8585205553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 108673449 + ... + 108673527.

Almost surely, 2^8585205552 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 8585205552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873507840).

8585205552 is an abundant number, since it is smaller than the sum of its proper divisors (23161810128).

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

8585205552 is an equidigital number, since it uses as much as digits as its factorization.

8585205552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 800000, while the sum is 45.

The square root of 8585205552 is about 92656.3843024322. The cubic root of 8585205552 is about 2047.6241006775.

The spelling of 8585205552 in words is "eight billion, five hundred eighty-five million, two hundred five thousand, five hundred fifty-two".