558265720896 has 168 divisors, whose sum is σ = 1723760666264. Its totient is φ = 171723939840.

The previous prime is 558265720891. The next prime is 558265720913. The reversal of 558265720896 is 698027562855.

558265720896 is a `hidden beast` number, since 5 + 58 + 2 + 6 + 572 + 0 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9682560000 + 548583160896 = 98400^2 + 740664^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (558265720891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31897620 + ... + 31915116.

Almost surely, 2^558265720896 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 558265720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861880333132).

558265720896 is an abundant number, since it is smaller than the sum of its proper divisors (1165494945368).

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

558265720896 is a wasteful number, since it uses less digits than its factorization.

558265720896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21789 (or 21776 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

It can be divided in two parts, 558265 and 720896, that added together give a square (1279161 = 1131²).

The spelling of 558265720896 in words is "five hundred fifty-eight billion, two hundred sixty-five million, seven hundred twenty thousand, eight hundred ninety-six".