5519580066 has 384 divisors, whose sum is σ = 17662095360. Its totient is φ = 1197504000.

The previous prime is 5519580037. The next prime is 5519580067. The reversal of 5519580066 is 6600859155.

It is a happy number.

5519580066 is a `hidden beast` number, since 5 + 5 + 1 + 9 + 580 + 0 + 66 = 666.

It is not an unprimeable number, because it can be changed into a prime (5519580067) 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 191 ways as a sum of consecutive naturals, for example, 7873516 + ... + 7874216.

It is an arithmetic number, because the mean of its divisors is an integer number (45995040).

Almost surely, 2^5519580066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5519580066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8831047680).

5519580066 is an abundant number, since it is smaller than the sum of its proper divisors (12142515294).

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

5519580066 is a wasteful number, since it uses less digits than its factorization.

5519580066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 5519580066 is about 74293.8763694559. The cubic root of 5519580066 is about 1767.2663672781.

It can be divided in two parts, 5519 and 580066, that added together give a palindrome (585585).

The spelling of 5519580066 in words is "five billion, five hundred nineteen million, five hundred eighty thousand, sixty-six".