559581323616 has 384 divisors, whose sum is σ = 1978172098560. Its totient is φ = 150233481216.

The previous prime is 559581323611. The next prime is 559581323629. The reversal of 559581323616 is 616323185955.

559581323616 is a `hidden beast` number, since 5 + 5 + 9 + 5 + 8 + 13 + 2 + 3 + 616 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (559581323611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69191125 + ... + 69199211.

It is an arithmetic number, because the mean of its divisors is an integer number (5151489840).

Almost surely, 2^559581323616 is an apocalyptic number.

559581323616 is a gapful number since it is divisible by the number (56) 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 559581323616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989086049280).

559581323616 is an abundant number, since it is smaller than the sum of its proper divisors (1418590774944).

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

559581323616 is a wasteful number, since it uses less digits than its factorization.

559581323616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8803 (or 8789 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The spelling of 559581323616 in words is "five hundred fifty-nine billion, five hundred eighty-one million, three hundred twenty-three thousand, six hundred sixteen".