8509545504 has 192 divisors, whose sum is σ = 26240457600. Its totient is φ = 2675441664.

The previous prime is 8509545491. The next prime is 8509545509. The reversal of 8509545504 is 4055459058.

8509545504 is a `hidden beast` number, since 8 + 5 + 0 + 95 + 4 + 550 + 4 = 666.

It is a super-2 number, since 2×8509545504² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8509545504.

It is not an unprimeable number, because it can be changed into a prime (8509545509) by changing a digit.

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, 4217904 + ... + 4219920.

It is an arithmetic number, because the mean of its divisors is an integer number (136669050).

Almost surely, 2^8509545504 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 8509545504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13120228800).

8509545504 is an abundant number, since it is smaller than the sum of its proper divisors (17730912096).

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

8509545504 is a wasteful number, since it uses less digits than its factorization.

8509545504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 8509545504 is about 92247.1978110988. The cubic root of 8509545504 is about 2041.5912152649.

The spelling of 8509545504 in words is "eight billion, five hundred nine million, five hundred forty-five thousand, five hundred four".