8585068800 has 432 divisors, whose sum is σ = 35329738752. Its totient is φ = 1783603200.

The previous prime is 8585068787. The next prime is 8585068831. The reversal of 8585068800 is 88605858.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8585068800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1475497 + ... + 1481303.

Almost surely, 2^8585068800 is an apocalyptic number.

8585068800 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 8585068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664869376).

8585068800 is an abundant number, since it is smaller than the sum of its proper divisors (26744669952).

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

8585068800 is a wasteful number, since it uses less digits than its factorization.

8585068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The square root of 8585068800 is about 92655.6463471061. The cubic root of 8585068800 is about 2047.6132285566.

The spelling of 8585068800 in words is "eight billion, five hundred eighty-five million, sixty-eight thousand, eight hundred".