5509216800 has 108 divisors (see below), whose sum is σ = 19426901130. Its totient is φ = 1469122560.

The previous prime is 5509216789. The next prime is 5509216829. The reversal of 5509216800 is 86129055.

It is a happy number.

5509216800 is a `hidden beast` number, since 550 + 9 + 21 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2039064336 + 3470152464 = 45156^2 + 58908^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 375385 + ... + 389784.

Almost surely, 2^5509216800 is an apocalyptic number.

5509216800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5509216800 is an abundant number, since it is smaller than the sum of its proper divisors (13917684330).

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

5509216800 is a wasteful number, since it uses less digits than its factorization.

5509216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765195 (or 765179 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5509216800 is about 74224.0985125451. The cubic root of 5509216800 is about 1766.1596329849.

The spelling of 5509216800 in words is "five billion, five hundred nine million, two hundred sixteen thousand, eight hundred".