559651680 has 480 divisors, whose sum is σ = 2341785600. Its totient is φ = 123171840.

The previous prime is 559651667. The next prime is 559651693. The reversal of 559651680 is 86156955.

It is a happy number.

559651680 is a `hidden beast` number, since 5 + 59 + 6 + 516 + 80 = 666.

559651680 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (559651667) and next prime (559651693).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2812221 + ... + 2812419.

It is an arithmetic number, because the mean of its divisors is an integer number (4878720).

Almost surely, 2^559651680 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 559651680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170892800).

559651680 is an abundant number, since it is smaller than the sum of its proper divisors (1782133920).

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

559651680 is a wasteful number, since it uses less digits than its factorization.

559651680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 559651680 is about 23656.9583843739. The cubic root of 559651680 is about 824.0861285533.

The spelling of 559651680 in words is "five hundred fifty-nine million, six hundred fifty-one thousand, six hundred eighty".