21716642808000 has 1344 divisors, whose sum is σ = 95881632163200. Its totient is φ = 4792570675200.

The previous prime is 21716642807933. The next prime is 21716642808011. The reversal of 21716642808000 is 80824661712.

21716642808000 is a `hidden beast` number, since 21 + 71 + 66 + 428 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×21716642808000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 306900624 + ... + 306971376.

Almost surely, 2^{21716642808000} is an apocalyptic number.

21716642808000 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 21716642808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47940816081600).

21716642808000 is an abundant number, since it is smaller than the sum of its proper divisors (74164989355200).

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

21716642808000 is a wasteful number, since it uses less digits than its factorization.

21716642808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70832 (or 70799 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 21716642808000 in words is "twenty-one trillion, seven hundred sixteen billion, six hundred forty-two million, eight hundred eight thousand".