20116755755217 has 64 divisors (see below), whose sum is σ = 33565480427520. Its totient is φ = 11797003252800.

The previous prime is 20116755755197. The next prime is 20116755755219. The reversal of 20116755755217 is 71255755761102.

20116755755217 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 6 + 7 + 5 + 575 + 52 + 17 = 666.

It is not a de Polignac number, because 20116755755217 - 2¹² = 20116755751121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20116755755219) by changing a digit.

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, 66018703 + ... + 66322715.

It is an arithmetic number, because the mean of its divisors is an integer number (524460631680).

Almost surely, 2^{20116755755217} is an apocalyptic number.

20116755755217 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20116755755217 is a deficient number, since it is larger than the sum of its proper divisors (13448724672303).

20116755755217 is a wasteful number, since it uses less digits than its factorization.

20116755755217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311251 (or 311245 counting only the distinct ones).

The product of its (nonzero) digits is 5145000, while the sum is 54.

The spelling of 20116755755217 in words is "twenty trillion, one hundred sixteen billion, seven hundred fifty-five million, seven hundred fifty-five thousand, two hundred seventeen".