5509214208 has 312 divisors, whose sum is σ = 17250246000. Its totient is φ = 1687683072.

The previous prime is 5509214203. The next prime is 5509214209. The reversal of 5509214208 is 8024129055.

5509214208 is a `hidden beast` number, since 5 + 509 + 2 + 142 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5509214203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36974518 + ... + 36974666.

It is an arithmetic number, because the mean of its divisors is an integer number (55289250).

Almost surely, 2^5509214208 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 5509214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8625123000).

5509214208 is an abundant number, since it is smaller than the sum of its proper divisors (11741031792).

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

5509214208 is a wasteful number, since it uses less digits than its factorization.

5509214208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5509214208 is about 74224.0810519066. The cubic root of 5509214208 is about 1766.1593560014.

The spelling of 5509214208 in words is "five billion, five hundred nine million, two hundred fourteen thousand, two hundred eight".