52121679945888 has 192 divisors, whose sum is σ = 157924829018880. Its totient is φ = 14743378944000.

The previous prime is 52121679945877. The next prime is 52121679945889. The reversal of 52121679945888 is 88854997612125.

52121679945888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52121679945889) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1543460268 + ... + 1543494036.

It is an arithmetic number, because the mean of its divisors is an integer number (822525151140).

Almost surely, 2^{52121679945888} 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 52121679945888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78962414509440).

52121679945888 is an abundant number, since it is smaller than the sum of its proper divisors (105803149072992).

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

52121679945888 is a wasteful number, since it uses less digits than its factorization.

52121679945888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56631 (or 56623 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 75.

The spelling of 52121679945888 in words is "fifty-two trillion, one hundred twenty-one billion, six hundred seventy-nine million, nine hundred forty-five thousand, eight hundred eighty-eight".