65216560806800 has 60 divisors (see below), whose sum is σ = 168735309454740. Its totient is φ = 24079960911360.

The previous prime is 65216560806797. The next prime is 65216560806829. The reversal of 65216560806800 is 860806561256.

65216560806800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1509792157696 + 63706768649104 = 1228736^2 + 7981652^2 .

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 11 ways as a sum of consecutive naturals, for example, 6270817955 + ... + 6270828354.

It is an arithmetic number, because the mean of its divisors is an integer number (2812255157579).

Almost surely, 2^{65216560806800} is an apocalyptic number.

It is an amenable number.

65216560806800 is an abundant number, since it is smaller than the sum of its proper divisors (103518748647940).

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

65216560806800 is a wasteful number, since it uses less digits than its factorization.

65216560806800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12541646340 (or 12541646329 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 53.

The spelling of 65216560806800 in words is "sixty-five trillion, two hundred sixteen billion, five hundred sixty million, eight hundred six thousand, eight hundred".