217105025568 has 48 divisors (see below), whose sum is σ = 589552447680. Its totient is φ = 69872880896.

The previous prime is 217105025549. The next prime is 217105025573. The reversal of 217105025568 is 865520501712.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 38988780 + ... + 38994347.

It is an arithmetic number, because the mean of its divisors is an integer number (12282342660).

Almost surely, 2^217105025568 is an apocalyptic number.

It is an amenable number.

217105025568 is an abundant number, since it is smaller than the sum of its proper divisors (372447422112).

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

217105025568 is a wasteful number, since it uses less digits than its factorization.

217105025568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77983169 (or 77983161 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 42.

The spelling of 217105025568 in words is "two hundred seventeen billion, one hundred five million, twenty-five thousand, five hundred sixty-eight".