5509141200 has 360 divisors, whose sum is σ = 20268643200. Its totient is φ = 1381847040.

The previous prime is 5509141199. The next prime is 5509141243. The reversal of 5509141200 is 21419055.

5509141200 is a `hidden beast` number, since 550 + 91 + 4 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16347432 + ... + 16347768.

Almost surely, 2^5509141200 is an apocalyptic number.

5509141200 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 5509141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10134321600).

5509141200 is an abundant number, since it is smaller than the sum of its proper divisors (14759502000).

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

5509141200 is a wasteful number, since it uses less digits than its factorization.

5509141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 5509141200 is about 74223.5892422348. The cubic root of 5509141200 is about 1766.1515542638.

The spelling of 5509141200 in words is "five billion, five hundred nine million, one hundred forty-one thousand, two hundred".