6005005500 has 192 divisors, whose sum is σ = 19024387200. Its totient is φ = 1463040000.

The previous prime is 6005005471. The next prime is 6005005507. The reversal of 6005005500 is 55005006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005005507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1967976 + ... + 1971024.

It is an arithmetic number, because the mean of its divisors is an integer number (99085350).

Almost surely, 2^6005005500 is an apocalyptic number.

6005005500 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 6005005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9512193600).

6005005500 is an abundant number, since it is smaller than the sum of its proper divisors (13019381700).

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

6005005500 is a wasteful number, since it uses less digits than its factorization.

6005005500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 6005005500 is about 77491.9705517933. The cubic root of 6005005500 is about 1817.6257633302.

The spelling of 6005005500 in words is "six billion, five million, five thousand, five hundred".