559252172224512 has 288 divisors, whose sum is σ = 1739543200340400. Its totient is φ = 172070436077568.

The previous prime is 559252172224469. The next prime is 559252172224519. The reversal of 559252172224512 is 215422271252955.

559252172224512 is a `hidden beast` number, since 5 + 5 + 9 + 2 + 52 + 1 + 72 + 2 + 2 + 4 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (559252172224519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10534211664 + ... + 10534264752.

Almost surely, 2^{559252172224512} is an apocalyptic number.

559252172224512 is a gapful number since it is divisible by the number (52) 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 559252172224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869771600170200).

559252172224512 is an abundant number, since it is smaller than the sum of its proper divisors (1180291028115888).

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

559252172224512 is a wasteful number, since it uses less digits than its factorization.

559252172224512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97093 (or 97070 counting only the distinct ones).

The product of its digits is 10080000, while the sum is 54.

The spelling of 559252172224512 in words is "five hundred fifty-nine trillion, two hundred fifty-two billion, one hundred seventy-two million, two hundred twenty-four thousand, five hundred twelve".