52682728309848 has 2560 divisors, whose sum is σ = 201234320179200. Its totient is φ = 12501941760000.

The previous prime is 52682728309829. The next prime is 52682728310039. The reversal of 52682728309848 is 84890382728625.

52682728309848 is a `hidden beast` number, since 5 + 2 + 6 + 8 + 272 + 8 + 309 + 8 + 48 = 666.

52682728309848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 639 ways as a sum of consecutive naturals, for example, 209891347723 + ... + 209891347973.

It is an arithmetic number, because the mean of its divisors is an integer number (78607156320).

Almost surely, 2^{52682728309848} 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 52682728309848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100617160089600).

52682728309848 is an abundant number, since it is smaller than the sum of its proper divisors (148551591869352).

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

52682728309848 is a wasteful number, since it uses less digits than its factorization.

52682728309848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 52682728309848 in words is "fifty-two trillion, six hundred eighty-two billion, seven hundred twenty-eight million, three hundred nine thousand, eight hundred forty-eight".