559041504000 has 576 divisors, whose sum is σ = 2152194250752. Its totient is φ = 125970432000.

The previous prime is 559041503983. The next prime is 559041504013. The reversal of 559041504000 is 405140955.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47706142 + ... + 47717858.

It is an arithmetic number, because the mean of its divisors is an integer number (3736448352).

Almost surely, 2^559041504000 is an apocalyptic number.

559041504000 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 559041504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076097125376).

559041504000 is an abundant number, since it is smaller than the sum of its proper divisors (1593152746752).

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

559041504000 is a wasteful number, since it uses less digits than its factorization.

559041504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11829 (or 11805 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 559041504000 its reverse (405140955), we get a palindrome (559446644955).

The spelling of 559041504000 in words is "five hundred fifty-nine billion, forty-one million, five hundred four thousand".