5565359520 has 288 divisors, whose sum is σ = 21808725120. Its totient is φ = 1266001920.

The previous prime is 5565359507. The next prime is 5565359543. The reversal of 5565359520 is 259535655.

5565359520 is a `hidden beast` number, since 5 + 5 + 6 + 53 + 595 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2307115 + ... + 2309525.

It is an arithmetic number, because the mean of its divisors is an integer number (75724740).

Almost surely, 2^5565359520 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 5565359520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10904362560).

5565359520 is an abundant number, since it is smaller than the sum of its proper divisors (16243365600).

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

5565359520 is a wasteful number, since it uses less digits than its factorization.

5565359520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 1012500, while the sum is 45.

The square root of 5565359520 is about 74601.3372534300. The cubic root of 5565359520 is about 1772.1388297455.

It can be divided in two parts, 5565 and 359520, that added together give a triangular number (365085 = T₈₅₄).

The spelling of 5565359520 in words is "five billion, five hundred sixty-five million, three hundred fifty-nine thousand, five hundred twenty".