52216800768 has 960 divisors, whose sum is σ = 188087961600. Its totient is φ = 14233190400.

The previous prime is 52216800761. The next prime is 52216800827. The reversal of 52216800768 is 86700861225.

52216800768 is a `hidden beast` number, since 522 + 1 + 68 + 0 + 0 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52216800761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 985222630 + ... + 985222682.

It is an arithmetic number, because the mean of its divisors is an integer number (195924960).

Almost surely, 2^52216800768 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 52216800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94043980800).

52216800768 is an abundant number, since it is smaller than the sum of its proper divisors (135871160832).

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

52216800768 is a wasteful number, since it uses less digits than its factorization.

52216800768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 52216800768 in words is "fifty-two billion, two hundred sixteen million, eight hundred thousand, seven hundred sixty-eight".