559906560 has 288 divisors, whose sum is σ = 2105974080. Its totient is φ = 140378112.

The previous prime is 559906559. The next prime is 559906561. The reversal of 559906560 is 65609955.

559906560 is a `hidden beast` number, since 5 + 599 + 0 + 6 + 56 + 0 = 666.

559906560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (559906559) and next prime (559906561).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (559906561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587044 + ... + 587996.

It is an arithmetic number, because the mean of its divisors is an integer number (7312410).

Almost surely, 2^559906560 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 559906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052987040).

559906560 is an abundant number, since it is smaller than the sum of its proper divisors (1546067520).

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

559906560 is a wasteful number, since it uses less digits than its factorization.

559906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 559906560 is about 23662.3447696969. The cubic root of 559906560 is about 824.2112130190.

The spelling of 559906560 in words is "five hundred fifty-nine million, nine hundred six thousand, five hundred sixty".