5580217440 has 384 divisors, whose sum is σ = 22512107520. Its totient is φ = 1264564224.

The previous prime is 5580217417. The next prime is 5580217481. The reversal of 5580217440 is 447120855.

5580217440 is a `hidden beast` number, since 5 + 580 + 2 + 1 + 74 + 4 + 0 = 666.

It is a super-2 number, since 2×5580217440² = 62277653355360307200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5580217395 and 5580217404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3839754 + ... + 3841206.

It is an arithmetic number, because the mean of its divisors is an integer number (58625280).

Almost surely, 2^5580217440 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 5580217440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11256053760).

5580217440 is an abundant number, since it is smaller than the sum of its proper divisors (16931890080).

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

5580217440 is a wasteful number, since it uses less digits than its factorization.

5580217440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5580217440 is about 74700.8530071779. The cubic root of 5580217440 is about 1773.7144632154.

The spelling of 5580217440 in words is "five billion, five hundred eighty million, two hundred seventeen thousand, four hundred forty".