559872000 has 384 divisors, whose sum is σ = 2095329600. Its totient is φ = 149299200.

The previous prime is 559871989. The next prime is 559872011. The reversal of 559872000 is 278955.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

559872000 is a `hidden beast` number, since 559 + 87 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (559871989) and next prime (559872011).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111974398 + ... + 111974402.

Almost surely, 2^559872000 is an apocalyptic number.

559872000 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 559872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047664800).

559872000 is an abundant number, since it is smaller than the sum of its proper divisors (1535457600).

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

559872000 is an frugal number, since it uses more digits than its factorization.

559872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 10 counting only the distinct ones).

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

The square root of 559872000 is about 23661.6144842232. The cubic root of 559872000 is about 824.1942546384.

The spelling of 559872000 in words is "five hundred fifty-nine million, eight hundred seventy-two thousand".