559800029144160 has 1152 divisors, whose sum is σ = 2430896303646720. Its totient is φ = 114361013403648.

The previous prime is 559800029144077. The next prime is 559800029144171. The reversal of 559800029144160 is 61441920008955.

559800029144160 is a `hidden beast` number, since 5 + 59 + 8 + 0 + 0 + 0 + 2 + 91 + 441 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 559800029144097 and 559800029144106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 320691642 + ... + 322432518.

It is an arithmetic number, because the mean of its divisors is an integer number (2110153041360).

Almost surely, 2^{559800029144160} 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 559800029144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215448151823360).

559800029144160 is an abundant number, since it is smaller than the sum of its proper divisors (1871096274502560).

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

559800029144160 is a wasteful number, since it uses less digits than its factorization.

559800029144160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741020 (or 1741009 counting only the distinct ones).

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

The spelling of 559800029144160 in words is "five hundred fifty-nine trillion, eight hundred billion, twenty-nine million, one hundred forty-four thousand, one hundred sixty".