6005511666 has 128 divisors (see below), whose sum is σ = 17026099200. Its totient is φ = 1523551680.

The previous prime is 6005511649. The next prime is 6005511667. The reversal of 6005511666 is 6661155006.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6005511666.

It is not an unprimeable number, because it can be changed into a prime (6005511667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162000 + ... + 195588.

It is an arithmetic number, because the mean of its divisors is an integer number (133016400).

Almost surely, 2^6005511666 is an apocalyptic number.

6005511666 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6005511666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8513049600).

6005511666 is an abundant number, since it is smaller than the sum of its proper divisors (11020587534).

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

6005511666 is a wasteful number, since it uses less digits than its factorization.

6005511666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33661 (or 33655 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 6005511666 is about 77495.2364084400. The cubic root of 6005511666 is about 1817.6768315329.

The spelling of 6005511666 in words is "six billion, five million, five hundred eleven thousand, six hundred sixty-six".