52138942206768 has 240 divisors, whose sum is σ = 155529784519200. Its totient is φ = 16902652631040.

The previous prime is 52138942206739. The next prime is 52138942206787. The reversal of 52138942206768 is 86760224983125.

52138942206768 is a `hidden beast` number, since 5 + 2 + 1 + 389 + 42 + 206 + 7 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19872898 + ... + 22343006.

It is an arithmetic number, because the mean of its divisors is an integer number (648040768830).

It is a 1-persistent number, because it is pandigital, but 2⋅52138942206768 = 104277884413536 is not.

Almost surely, 2^{52138942206768} 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 52138942206768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77764892259600).

52138942206768 is an abundant number, since it is smaller than the sum of its proper divisors (103390842312432).

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

52138942206768 is a wasteful number, since it uses less digits than its factorization.

52138942206768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470282 (or 2470264 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 52138942206768 in words is "fifty-two trillion, one hundred thirty-eight billion, nine hundred forty-two million, two hundred six thousand, seven hundred sixty-eight".