52041937546368 has 1920 divisors, whose sum is σ = 210410665597440. Its totient is φ = 12449881128960.

The previous prime is 52041937546253. The next prime is 52041937546409. The reversal of 52041937546368 is 86364573914025.

52041937546368 is a `hidden beast` number, since 5 + 2 + 0 + 41 + 9 + 3 + 75 + 463 + 68 = 666.

52041937546368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×52041937546368³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 239 ways as a sum of consecutive naturals, for example, 7016571396 + ... + 7016578812.

It is an arithmetic number, because the mean of its divisors is an integer number (109588888332).

It is a 2-persistent number, because it is pandigital, and so is 2⋅52041937546368 = 104083875092736, but 3⋅52041937546368 = 156125812639104 is not.

Almost surely, 2^{52041937546368} 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 52041937546368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105205332798720).

52041937546368 is an abundant number, since it is smaller than the sum of its proper divisors (158368728051072).

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

52041937546368 is a wasteful number, since it uses less digits than its factorization.

52041937546368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7536 (or 7504 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 52041937546368 in words is "fifty-two trillion, forty-one billion, nine hundred thirty-seven million, five hundred forty-six thousand, three hundred sixty-eight".