522668089517952 has 1024 divisors, whose sum is σ = 1686354739200000. Its totient is φ = 143219179192320.

The previous prime is 522668089517929. The next prime is 522668089517969. The reversal of 522668089517952 is 259715980866225.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229946364688 + ... + 229946366960.

It is an arithmetic number, because the mean of its divisors is an integer number (1646830800000).

Almost surely, 2^{522668089517952} 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 522668089517952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843177369600000).

522668089517952 is an abundant number, since it is smaller than the sum of its proper divisors (1163686649682048).

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

522668089517952 is a wasteful number, since it uses less digits than its factorization.

522668089517952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 75.

The spelling of 522668089517952 in words is "five hundred twenty-two trillion, six hundred sixty-eight billion, eighty-nine million, five hundred seventeen thousand, nine hundred fifty-two".