21941689521168 has 240 divisors, whose sum is σ = 65288166528000. Its totient is φ = 6859323378432.

The previous prime is 21941689521161. The next prime is 21941689521217. The reversal of 21941689521168 is 86112598614912.

21941689521168 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 16 + 89 + 521 + 16 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (21941689521161) 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 47 ways as a sum of consecutive naturals, for example, 935309023 + ... + 935332481.

It is an arithmetic number, because the mean of its divisors is an integer number (272034027200).

Almost surely, 2^{21941689521168} 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 21941689521168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32644083264000).

21941689521168 is an abundant number, since it is smaller than the sum of its proper divisors (43346477006832).

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

21941689521168 is a wasteful number, since it uses less digits than its factorization.

21941689521168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26914 (or 26905 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 63.

The spelling of 21941689521168 in words is "twenty-one trillion, nine hundred forty-one billion, six hundred eighty-nine million, five hundred twenty-one thousand, one hundred sixty-eight".