217020051168 has 96 divisors (see below), whose sum is σ = 579537504000. Its totient is φ = 71088838656.

The previous prime is 217020051163. The next prime is 217020051211. The reversal of 217020051168 is 861150020712.

217020051168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×217020051168² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217020051161) 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 15 ways as a sum of consecutive naturals, for example, 22928805 + ... + 22938267.

It is an arithmetic number, because the mean of its divisors is an integer number (6036849000).

Almost surely, 2^217020051168 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 217020051168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289768752000).

217020051168 is an abundant number, since it is smaller than the sum of its proper divisors (362517452832).

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

217020051168 is a wasteful number, since it uses less digits than its factorization.

217020051168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13584 (or 13576 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 217020051168 in words is "two hundred seventeen billion, twenty million, fifty-one thousand, one hundred sixty-eight".