559728000 has 576 divisors, whose sum is σ = 2271278880. Its totient is φ = 131788800.

The previous prime is 559727999. The next prime is 559728019. The reversal of 559728000 is 827955.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24335989 + ... + 24336011.

Almost surely, 2^559728000 is an apocalyptic number.

559728000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 559728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135639440).

559728000 is an abundant number, since it is smaller than the sum of its proper divisors (1711550880).

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

559728000 is a wasteful number, since it uses less digits than its factorization.

559728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 559728000 is about 23658.5713854408. The cubic root of 559728000 is about 824.1235872065.

The spelling of 559728000 in words is "five hundred fifty-nine million, seven hundred twenty-eight thousand".