5566006600 has 384 divisors, whose sum is σ = 16970342400. Its totient is φ = 1647360000.

The previous prime is 5566006591. The next prime is 5566006603. The reversal of 5566006600 is 66006655.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (5566006603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42488535 + ... + 42488665.

It is an arithmetic number, because the mean of its divisors is an integer number (44193600).

Almost surely, 2^5566006600 is an apocalyptic number.

5566006600 is a gapful number since it is divisible by the number (50) 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 5566006600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485171200).

5566006600 is an abundant number, since it is smaller than the sum of its proper divisors (11404335800).

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

5566006600 is a wasteful number, since it uses less digits than its factorization.

5566006600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 5566006600 is about 74605.6740469517. The cubic root of 5566006600 is about 1772.2075088158.

Subtracting from 5566006600 its reverse (66006655), we obtain a palindrome (5499999945).

The spelling of 5566006600 in words is "five billion, five hundred sixty-six million, six thousand, six hundred".