52064395591680 has 1152 divisors, whose sum is σ = 192751860470400. Its totient is φ = 13317754060800.

The previous prime is 52064395591609. The next prime is 52064395591739. The reversal of 52064395591680 is 8619559346025.

52064395591680 is a `hidden beast` number, since 5 + 2 + 0 + 6 + 4 + 39 + 5 + 591 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 123668397870 + ... + 123668398290.

It is an arithmetic number, because the mean of its divisors is an integer number (167319323325).

Almost surely, 2^{52064395591680} 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 52064395591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96375930235200).

52064395591680 is an abundant number, since it is smaller than the sum of its proper divisors (140687464878720).

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

52064395591680 is an equidigital number, since it uses as much as digits as its factorization.

52064395591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 52064395591680 in words is "fifty-two trillion, sixty-four billion, three hundred ninety-five million, five hundred ninety-one thousand, six hundred eighty".