20965917168 has 480 divisors, whose sum is σ = 72735916032. Its totient is φ = 5508518400.

The previous prime is 20965917151. The next prime is 20965917173. The reversal of 20965917168 is 86171956902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77364873 + ... + 77365143.

Almost surely, 2^20965917168 is an apocalyptic number.

20965917168 is a gapful number since it is divisible by the number (28) 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 20965917168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36367958016).

20965917168 is an abundant number, since it is smaller than the sum of its proper divisors (51769998864).

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

20965917168 is a wasteful number, since it uses less digits than its factorization.

20965917168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 20965917168 in words is "twenty billion, nine hundred sixty-five million, nine hundred seventeen thousand, one hundred sixty-eight".