5616552960 has 440 divisors, whose sum is σ = 20865152880. Its totient is φ = 1443004416.

The previous prime is 5616552947. The next prime is 5616552971. The reversal of 5616552960 is 692556165.

5616552960 is a `hidden beast` number, since 5 + 6 + 1 + 6 + 552 + 96 + 0 = 666.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 12026647 + ... + 12027113.

It is an arithmetic number, because the mean of its divisors is an integer number (47420802).

Almost surely, 2^5616552960 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 5616552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10432576440).

5616552960 is an abundant number, since it is smaller than the sum of its proper divisors (15248599920).

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

5616552960 is a wasteful number, since it uses less digits than its factorization.

5616552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 5616552960 is about 74943.6652426341. The cubic root of 5616552960 is about 1777.5559775139. Note that the first 3 decimals are identical.

The spelling of 5616552960 in words is "five billion, six hundred sixteen million, five hundred fifty-two thousand, nine hundred sixty".