10666404200 has 48 divisors (see below), whose sum is σ = 25404272460. Its totient is φ = 4162496000.

The previous prime is 10666404191. The next prime is 10666404209. The reversal of 10666404200 is 240466601.

10666404200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10666404191) and next prime (10666404209).

It can be written as a sum of positive squares in 6 ways, for example, as 3363556 + 10663040644 = 1834^2 + 103262^2 .

It is a super-2 number, since 2×10666404200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10666404209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 642191 + ... + 658590.

Almost surely, 2^10666404200 is an apocalyptic number.

10666404200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10666404200 is an abundant number, since it is smaller than the sum of its proper divisors (14737868260).

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

10666404200 is a wasteful number, since it uses less digits than its factorization.

10666404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300838 (or 1300829 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 10666404200 in words is "ten billion, six hundred sixty-six million, four hundred four thousand, two hundred".