52853285391264 has 288 divisors, whose sum is σ = 151588078387200. Its totient is φ = 17467735380480.

The previous prime is 52853285391251. The next prime is 52853285391289. The reversal of 52853285391264 is 46219358235825.

It is a happy number.

52853285391264 is a `hidden beast` number, since 5 + 2 + 8 + 5 + 3 + 28 + 539 + 12 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23605753857 + ... + 23605756095.

It is an arithmetic number, because the mean of its divisors is an integer number (526347494400).

Almost surely, 2^{52853285391264} 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 52853285391264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75794039193600).

52853285391264 is an abundant number, since it is smaller than the sum of its proper divisors (98734792995936).

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

52853285391264 is a wasteful number, since it uses less digits than its factorization.

52853285391264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3757 counting only the distinct ones).

The product of its digits is 124416000, while the sum is 63.

The spelling of 52853285391264 in words is "fifty-two trillion, eight hundred fifty-three billion, two hundred eighty-five million, three hundred ninety-one thousand, two hundred sixty-four".