52393664626560 has 1280 divisors, whose sum is σ = 197061258240000. Its totient is φ = 13249288765440.

The previous prime is 52393664626549. The next prime is 52393664626577. The reversal of 52393664626560 is 6562646639325.

52393664626560 is a `hidden beast` number, since 5 + 2 + 3 + 9 + 3 + 6 + 6 + 4 + 62 + 6 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17646904756 + ... + 17646907724.

It is an arithmetic number, because the mean of its divisors is an integer number (153954108000).

Almost surely, 2^{52393664626560} 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 52393664626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98530629120000).

52393664626560 is an abundant number, since it is smaller than the sum of its proper divisors (144667593613440).

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

52393664626560 is a wasteful number, since it uses less digits than its factorization.

52393664626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 63.

The spelling of 52393664626560 in words is "fifty-two trillion, three hundred ninety-three billion, six hundred sixty-four million, six hundred twenty-six thousand, five hundred sixty".