1066805966205 has 48 divisors (see below), whose sum is σ = 2113747933440. Its totient is φ = 487577470464.

The previous prime is 1066805966201. The next prime is 1066805966383. The reversal of 1066805966205 is 5026695086601.

1066805966205 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 8 + 0 + 5 + 9 + 6 + 620 + 5 = 666.

It is not a de Polignac number, because 1066805966205 - 2² = 1066805966201 is a prime.

It is a super-2 number, since 2×1066805966205² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066805966201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1105701 + ... + 1831989.

It is an arithmetic number, because the mean of its divisors is an integer number (44036415280).

Almost surely, 2^{1066805966205} is an apocalyptic number.

1066805966205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1066805966205 is a deficient number, since it is larger than the sum of its proper divisors (1046941967235).

1066805966205 is a wasteful number, since it uses less digits than its factorization.

1066805966205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730970 (or 730967 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1066805966205 in words is "one trillion, sixty-six billion, eight hundred five million, nine hundred sixty-six thousand, two hundred five".