5558584500 has 360 divisors, whose sum is σ = 21103330248. Its totient is φ = 1270080000.

The previous prime is 5558584477. The next prime is 5558584511. The reversal of 5558584500 is 54858555.

5558584500 is a `hidden beast` number, since 5 + 558 + 58 + 45 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 236298384 + 5322286116 = 15372^2 + 72954^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1983100 + ... + 1985900.

Almost surely, 2^5558584500 is an apocalyptic number.

5558584500 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 5558584500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10551665124).

5558584500 is an abundant number, since it is smaller than the sum of its proper divisors (15544745748).

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

5558584500 is a wasteful number, since it uses less digits than its factorization.

5558584500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 800000, while the sum is 45.

The square root of 5558584500 is about 74555.9152582812. The cubic root of 5558584500 is about 1771.4194302028.

The spelling of 5558584500 in words is "five billion, five hundred fifty-eight million, five hundred eighty-four thousand, five hundred".