558641266560 has 960 divisors, whose sum is σ = 2247377489280. Its totient is φ = 131448987648.

The previous prime is 558641266543. The next prime is 558641266567. The reversal of 558641266560 is 65662146855.

558641266560 is a `hidden beast` number, since 5 + 5 + 8 + 6 + 4 + 12 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 558641266497 and 558641266506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (558641266567) 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, 356502897 + ... + 356504463.

It is an arithmetic number, because the mean of its divisors is an integer number (2341018218).

Almost surely, 2^558641266560 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 558641266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123688744640).

558641266560 is an abundant number, since it is smaller than the sum of its proper divisors (1688736222720).

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

558641266560 is a wasteful number, since it uses less digits than its factorization.

558641266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 558641266560 in words is "five hundred fifty-eight billion, six hundred forty-one million, two hundred sixty-six thousand, five hundred sixty".