52567836222720 has 2304 divisors, whose sum is σ = 236189522903040. Its totient is φ = 9639913586688.

The previous prime is 52567836222683. The next prime is 52567836222841. The reversal of 52567836222720 is 2722263876525.

It is a happy number.

52567836222720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3962293527 + ... + 3962306793.

It is an arithmetic number, because the mean of its divisors is an integer number (102512813760).

Almost surely, 2^{52567836222720} 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 52567836222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118094761451520).

52567836222720 is an abundant number, since it is smaller than the sum of its proper divisors (183621686680320).

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

52567836222720 is a wasteful number, since it uses less digits than its factorization.

52567836222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13380 (or 13366 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 52567836222720 in words is "fifty-two trillion, five hundred sixty-seven billion, eight hundred thirty-six million, two hundred twenty-two thousand, seven hundred twenty".