5565918960 has 480 divisors, whose sum is σ = 22360890240. Its totient is φ = 1213857792.

The previous prime is 5565918947. The next prime is 5565918979. The reversal of 5565918960 is 698195655.

5565918960 is a `hidden beast` number, since 5 + 565 + 9 + 18 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5565918897 and 5565918906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16515912 + ... + 16516248.

It is an arithmetic number, because the mean of its divisors is an integer number (46585188).

Almost surely, 2^5565918960 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 5565918960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11180445120).

5565918960 is an abundant number, since it is smaller than the sum of its proper divisors (16794971280).

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

5565918960 is a wasteful number, since it uses less digits than its factorization.

5565918960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The square root of 5565918960 is about 74605.0866898498. The cubic root of 5565918960 is about 1772.1982072889.

The spelling of 5565918960 in words is "five billion, five hundred sixty-five million, nine hundred eighteen thousand, nine hundred sixty".