559860940800 has 1008 divisors, whose sum is σ = 2371626122880. Its totient is φ = 126835752960.

The previous prime is 559860940799. The next prime is 559860940829. The reversal of 559860940800 is 8049068955.

It is a happy number.

559860940800 is a `hidden beast` number, since 5 + 598 + 6 + 0 + 9 + 40 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×559860940800² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4954521544 + ... + 4954521656.

Almost surely, 2^559860940800 is an apocalyptic number.

559860940800 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 559860940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185813061440).

559860940800 is an abundant number, since it is smaller than the sum of its proper divisors (1811765182080).

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

559860940800 is an frugal number, since it uses more digits than its factorization.

559860940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 559860940800 in words is "five hundred fifty-nine billion, eight hundred sixty million, nine hundred forty thousand, eight hundred".