559044218880 has 1040 divisors, whose sum is σ = 2365726454784. Its totient is φ = 123579924480.

The previous prime is 559044218869. The next prime is 559044218933. The reversal of 559044218880 is 88812440955.

559044218880 is a `hidden beast` number, since 5 + 590 + 4 + 42 + 1 + 8 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 359976184 + ... + 359977736.

Almost surely, 2^559044218880 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 559044218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182863227392).

559044218880 is an abundant number, since it is smaller than the sum of its proper divisors (1806682235904).

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

559044218880 is a wasteful number, since it uses less digits than its factorization.

559044218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

It can be divided in two parts, 559044 and 218880, that added together give a square (777924 = 882²).

The spelling of 559044218880 in words is "five hundred fifty-nine billion, forty-four million, two hundred eighteen thousand, eight hundred eighty".