559024352406 has 192 divisors, whose sum is σ = 1381447581696. Its totient is φ = 162186105600.

The previous prime is 559024352401. The next prime is 559024352407. The reversal of 559024352406 is 604253420955.

559024352406 is a `hidden beast` number, since 5 + 590 + 2 + 4 + 3 + 52 + 4 + 0 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (559024352401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47340955 + ... + 47352761.

It is an arithmetic number, because the mean of its divisors is an integer number (7195039488).

Almost surely, 2^559024352406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 559024352406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690723790848).

559024352406 is an abundant number, since it is smaller than the sum of its proper divisors (822423229290).

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

559024352406 is a wasteful number, since it uses less digits than its factorization.

559024352406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12027 (or 12024 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 559024352406 in words is "five hundred fifty-nine billion, twenty-four million, three hundred fifty-two thousand, four hundred six".