6005505060 has 72 divisors (see below), whose sum is σ = 18286107840. Its totient is φ = 1595366208.

The previous prime is 6005505059. The next prime is 6005505061. The reversal of 6005505060 is 605055006.

6005505060 is a `hidden beast` number, since 6 + 0 + 0 + 550 + 50 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (6005505059) and next prime (6005505061).

It is not an unprimeable number, because it can be changed into a prime (6005505061) 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 23 ways as a sum of consecutive naturals, for example, 16090 + ... + 110769.

It is an arithmetic number, because the mean of its divisors is an integer number (253973720).

Almost surely, 2^6005505060 is an apocalyptic number.

6005505060 is a gapful number since it is divisible by the number (60) 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 6005505060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9143053920).

6005505060 is an abundant number, since it is smaller than the sum of its proper divisors (12280602780).

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

6005505060 is a wasteful number, since it uses less digits than its factorization.

6005505060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127137 (or 127132 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 6005505060 is about 77495.1937864536. The cubic root of 6005505060 is about 1817.6761650575.

The spelling of 6005505060 in words is "six billion, five million, five hundred five thousand, sixty".