5580940800 has 480 divisors, whose sum is σ = 19728023040. Its totient is φ = 1387724800.

The previous prime is 5580940793. The next prime is 5580940817. The reversal of 5580940800 is 80490855.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5580940800² = 62293800426209280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62707156 + ... + 62707244.

It is an arithmetic number, because the mean of its divisors is an integer number (41100048).

Almost surely, 2^5580940800 is an apocalyptic number.

5580940800 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 5580940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9864011520).

5580940800 is an abundant number, since it is smaller than the sum of its proper divisors (14147082240).

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

5580940800 is a wasteful number, since it uses less digits than its factorization.

5580940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 5580940800 is about 74705.6945620613. The cubic root of 5580940800 is about 1773.7911017259.

The spelling of 5580940800 in words is "five billion, five hundred eighty million, nine hundred forty thousand, eight hundred".