6005308560 has 40 divisors (see below), whose sum is σ = 18616457280. Its totient is φ = 1601415552.

The previous prime is 6005308501. The next prime is 6005308571. The reversal of 6005308560 is 658035006.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 12510820 + ... + 12511299.

It is an arithmetic number, because the mean of its divisors is an integer number (465411432).

Almost surely, 2^6005308560 is an apocalyptic number.

6005308560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6005308560 is an abundant number, since it is smaller than the sum of its proper divisors (12611148720).

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

6005308560 is a wasteful number, since it uses less digits than its factorization.

6005308560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25022135 (or 25022129 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 6005308560 is about 77493.9259555225. The cubic root of 6005308560 is about 1817.6563400659.

The spelling of 6005308560 in words is "six billion, five million, three hundred eight thousand, five hundred sixty".