559249920000 has 1560 divisors, whose sum is σ = 2235427434240. Its totient is φ = 139345920000.

The previous prime is 559249919993. The next prime is 559249920001. The reversal of 559249920000 is 29942955.

559249920000 is a `hidden beast` number, since 55 + 92 + 499 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (559249920001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18040319985 + ... + 18040320015.

It is an arithmetic number, because the mean of its divisors is an integer number (1432966304).

Almost surely, 2^559249920000 is an apocalyptic number.

559249920000 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 559249920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117713717120).

559249920000 is an abundant number, since it is smaller than the sum of its proper divisors (1676177514240).

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

559249920000 is an frugal number, since it uses more digits than its factorization.

559249920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 559249920000 in words is "five hundred fifty-nine billion, two hundred forty-nine million, nine hundred twenty thousand".