27821916870066 has 768 divisors, whose sum is σ = 77939430266880. Its totient is φ = 7328724480000.

The previous prime is 27821916870043. The next prime is 27821916870079. The reversal of 27821916870066 is 66007861912872.

27821916870066 is a `hidden beast` number, since 278 + 219 + 16 + 87 + 0 + 0 + 66 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27821916869985 and 27821916870012.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11684970196 + ... + 11684972576.

It is an arithmetic number, because the mean of its divisors is an integer number (101483633160).

Almost surely, 2^{27821916870066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27821916870066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38969715133440).

27821916870066 is an abundant number, since it is smaller than the sum of its proper divisors (50117513396814).

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

27821916870066 is a wasteful number, since it uses less digits than its factorization.

27821916870066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 27821916870066 in words is "twenty-seven trillion, eight hundred twenty-one billion, nine hundred sixteen million, eight hundred seventy thousand, sixty-six".