65353482823680 has 4608 divisors, whose sum is σ = 281062810828800. Its totient is φ = 14447384985600.

The previous prime is 65353482823633. The next prime is 65353482823693. The reversal of 65353482823680 is 8632828435356.

It is a happy number.

65353482823680 is a `hidden beast` number, since 6 + 5 + 3 + 5 + 348 + 282 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1071368570850 + ... + 1071368570910.

It is an arithmetic number, because the mean of its divisors is an integer number (60994533600).

Almost surely, 2^{65353482823680} is an apocalyptic number.

65353482823680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65353482823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140531405414400).

65353482823680 is an abundant number, since it is smaller than the sum of its proper divisors (215709328005120).

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

65353482823680 is a wasteful number, since it uses less digits than its factorization.

65353482823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 65353482823680 in words is "sixty-five trillion, three hundred fifty-three billion, four hundred eighty-two million, eight hundred twenty-three thousand, six hundred eighty".