52717336809984 has 1440 divisors, whose sum is σ = 204479200493568. Its totient is φ = 12752938598400.

The previous prime is 52717336809911. The next prime is 52717336810037. The reversal of 52717336809984 is 48990863371725.

52717336809984 is a `hidden beast` number, since 5 + 2 + 7 + 173 + 368 + 0 + 9 + 98 + 4 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 6436003329 + ... + 6436011519.

It is a 1-persistent number, because it is pandigital, but 2⋅52717336809984 = 105434673619968 is not.

Almost surely, 2^{52717336809984} 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 52717336809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102239600246784).

52717336809984 is an abundant number, since it is smaller than the sum of its proper divisors (151761863683584).

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

52717336809984 is a wasteful number, since it uses less digits than its factorization.

52717336809984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8358 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 52717336809984 in words is "fifty-two trillion, seven hundred seventeen billion, three hundred thirty-six million, eight hundred nine thousand, nine hundred eighty-four".