8505459827280 has 400 divisors, whose sum is σ = 31898492897040. Its totient is φ = 2088030928896.

The previous prime is 8505459827203. The next prime is 8505459827303. The reversal of 8505459827280 is 827289545058.

8505459827280 is a `hidden beast` number, since 8 + 5 + 0 + 545 + 9 + 8 + 2 + 7 + 2 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 113105761344 + 8392354065936 = 336312^2 + 2896956^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31286176 + ... + 31556864.

Almost surely, 2^{8505459827280} is an apocalyptic number.

8505459827280 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 8505459827280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15949246448520).

8505459827280 is an abundant number, since it is smaller than the sum of its proper divisors (23393033069760).

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

8505459827280 is a wasteful number, since it uses less digits than its factorization.

8505459827280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271100 (or 271085 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 8505459827280 in words is "eight trillion, five hundred five billion, four hundred fifty-nine million, eight hundred twenty-seven thousand, two hundred eighty".