5582009568 has 144 divisors (see below), whose sum is σ = 15930794880. Its totient is φ = 1710127104.

The previous prime is 5582009561. The next prime is 5582009603. The reversal of 5582009568 is 8659002855.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5582009561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1190653 + ... + 1195331.

It is an arithmetic number, because the mean of its divisors is an integer number (110630520).

Almost surely, 2^5582009568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5582009568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965397440).

5582009568 is an abundant number, since it is smaller than the sum of its proper divisors (10348785312).

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

5582009568 is a wasteful number, since it uses less digits than its factorization.

5582009568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The square root of 5582009568 is about 74712.8474092642. The cubic root of 5582009568 is about 1773.9043233871.

The spelling of 5582009568 in words is "five billion, five hundred eighty-two million, nine thousand, five hundred sixty-eight".