522556123968 has 168 divisors, whose sum is σ = 1520211214080. Its totient is φ = 171584824320.

The previous prime is 522556123961. The next prime is 522556123979. The reversal of 522556123968 is 869321655225.

522556123968 is a `hidden beast` number, since 5 + 2 + 2 + 556 + 1 + 23 + 9 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (522556123961) 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, 54264178 + ... + 54273806.

Almost surely, 2^522556123968 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 522556123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760105607040).

522556123968 is an abundant number, since it is smaller than the sum of its proper divisors (997655090112).

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

522556123968 is a wasteful number, since it uses less digits than its factorization.

522556123968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11045 (or 11032 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 522556123968 in words is "five hundred twenty-two billion, five hundred fifty-six million, one hundred twenty-three thousand, nine hundred sixty-eight".