1066006105011 has 16 divisors (see below), whose sum is σ = 1579630446720. Its totient is φ = 710507772360.

The previous prime is 1066006105009. The next prime is 1066006105013. The reversal of 1066006105011 is 1105016006601.

1066006105011 is a `hidden beast` number, since 1 + 0 + 6 + 600 + 6 + 1 + 0 + 50 + 1 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1066006105009) and next prime (1066006105013).

It is not a de Polignac number, because 1066006105011 - 2¹ = 1066006105009 is a prime.

It is a super-2 number, since 2×1066006105011² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1066006105013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4406805 + ... + 4642406.

It is an arithmetic number, because the mean of its divisors is an integer number (98726902920).

Almost surely, 2^{1066006105011} is an apocalyptic number.

1066006105011 is a deficient number, since it is larger than the sum of its proper divisors (513624341709).

1066006105011 is an equidigital number, since it uses as much as digits as its factorization.

1066006105011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9053583 (or 9053577 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 1066006105011 in words is "one trillion, sixty-six billion, six million, one hundred five thousand, eleven".