10666666600 has 48 divisors (see below), whose sum is σ = 25404897420. Its totient is φ = 4162598400.

The previous prime is 10666666583. The next prime is 10666666601. The reversal of 10666666600 is 666666601.

10666666600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 254913156 + 10411753444 = 15966^2 + 102038^2 .

It is a super-2 number, since 2×10666666600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10666666601) 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, 642207 + ... + 658606.

Almost surely, 2^10666666600 is an apocalyptic number.

10666666600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10666666600 is an abundant number, since it is smaller than the sum of its proper divisors (14738230820).

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

10666666600 is a wasteful number, since it uses less digits than its factorization.

10666666600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300870 (or 1300861 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

Subtracting from 10666666600 its reverse (666666601), we obtain a palindrome (9999999999).

It can be divided in two parts, 1066 and 6666600, that added together give a palindrome (6667666).

The spelling of 10666666600 in words is "ten billion, six hundred sixty-six million, six hundred sixty-six thousand, six hundred".