21066916440960 has 1920 divisors, whose sum is σ = 90613033711200. Its totient is φ = 4622972092416.

The previous prime is 21066916440811. The next prime is 21066916440991. The reversal of 21066916440960 is 6904461966012.

21066916440960 is a `hidden beast` number, since 2 + 10 + 6 + 6 + 9 + 164 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21066916440897 and 21066916440906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3700491874 + ... + 3700497566.

Almost surely, 2^{21066916440960} is an apocalyptic number.

21066916440960 is a gapful number since it is divisible by the number (20) 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 21066916440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45306516855600).

21066916440960 is an abundant number, since it is smaller than the sum of its proper divisors (69546117270240).

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

21066916440960 is a wasteful number, since it uses less digits than its factorization.

21066916440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 21066916440960 in words is "twenty-one trillion, sixty-six billion, nine hundred sixteen million, four hundred forty thousand, nine hundred sixty".