8509242560 has 224 divisors, whose sum is σ = 26407140480. Its totient is φ = 2534473728.

The previous prime is 8509242557. The next prime is 8509242571. The reversal of 8509242560 is 652429058.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 486446 + ... + 503634.

It is an arithmetic number, because the mean of its divisors is an integer number (117889020).

Almost surely, 2^8509242560 is an apocalyptic number.

8509242560 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 8509242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13203570240).

8509242560 is an abundant number, since it is smaller than the sum of its proper divisors (17897897920).

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

8509242560 is a wasteful number, since it uses less digits than its factorization.

8509242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17243 (or 17233 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 8509242560 is about 92245.5557737065. Note that the first 3 decimals coincide. The cubic root of 8509242560 is about 2041.5669877607.

The spelling of 8509242560 in words is "eight billion, five hundred nine million, two hundred forty-two thousand, five hundred sixty".