21066461606511 has 48 divisors (see below), whose sum is σ = 31341462384960. Its totient is φ = 13625554475520.

The previous prime is 21066461606503. The next prime is 21066461606557. The reversal of 21066461606511 is 11560616466012.

21066461606511 is a `hidden beast` number, since 2 + 1 + 0 + 66 + 461 + 60 + 65 + 11 = 666.

It is not a de Polignac number, because 21066461606511 - 2³ = 21066461606503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21066461506511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184365945 + ... + 184480173.

It is an arithmetic number, because the mean of its divisors is an integer number (652947133020).

Almost surely, 2^{21066461606511} is an apocalyptic number.

21066461606511 is a deficient number, since it is larger than the sum of its proper divisors (10275000778449).

21066461606511 is a wasteful number, since it uses less digits than its factorization.

21066461606511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115856 (or 115853 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 21066461606511 in words is "twenty-one trillion, sixty-six billion, four hundred sixty-one million, six hundred six thousand, five hundred eleven".