52338797743104 has 528 divisors, whose sum is σ = 154135425225600. Its totient is φ = 17103107653632.

The previous prime is 52338797743097. The next prime is 52338797743181. The reversal of 52338797743104 is 40134779783325.

52338797743104 is a `hidden beast` number, since 5 + 2 + 33 + 87 + 97 + 7 + 431 + 0 + 4 = 666.

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, 61358496342 + ... + 61358497194.

Almost surely, 2^{52338797743104} 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 52338797743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77067712612800).

52338797743104 is an abundant number, since it is smaller than the sum of its proper divisors (101796627482496).

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

52338797743104 is a wasteful number, since it uses less digits than its factorization.

52338797743104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 52338797743104 in words is "fifty-two trillion, three hundred thirty-eight billion, seven hundred ninety-seven million, seven hundred forty-three thousand, one hundred four".