5509649952 has 144 divisors (see below), whose sum is σ = 16621251192. Its totient is φ = 1725235200.

The previous prime is 5509649911. The next prime is 5509649989. The reversal of 5509649952 is 2599469055.

5509649952 is a `hidden beast` number, since 5 + 509 + 6 + 49 + 95 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2160018576 + 3349631376 = 46476^2 + 57876^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4586952 + ... + 4588152.

Almost surely, 2^5509649952 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 5509649952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8310625596).

5509649952 is an abundant number, since it is smaller than the sum of its proper divisors (11111601240).

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

5509649952 is a wasteful number, since it uses less digits than its factorization.

5509649952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The square root of 5509649952 is about 74227.0163215524. The cubic root of 5509649952 is about 1766.2059187854.

The spelling of 5509649952 in words is "five billion, five hundred nine million, six hundred forty-nine thousand, nine hundred fifty-two".