52321385825280 has 2464 divisors, whose sum is σ = 224841394729728. Its totient is φ = 11509176729600.

The previous prime is 52321385825257. The next prime is 52321385825311. The reversal of 52321385825280 is 8252858312325.

It is a happy number.

52321385825280 is a `hidden beast` number, since 5 + 2 + 3 + 2 + 1 + 3 + 8 + 582 + 52 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 223 ways as a sum of consecutive naturals, for example, 32558422237 + ... + 32558423843.

Almost surely, 2^{52321385825280} 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 52321385825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112420697364864).

52321385825280 is an abundant number, since it is smaller than the sum of its proper divisors (172520008904448).

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

52321385825280 is a wasteful number, since it uses less digits than its factorization.

52321385825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 52321385825280 in words is "fifty-two trillion, three hundred twenty-one billion, three hundred eighty-five million, eight hundred twenty-five thousand, two hundred eighty".