10663640200 has 48 divisors (see below), whose sum is σ = 24801264180. Its totient is φ = 4264028160.

The previous prime is 10663640189. The next prime is 10663640233. The reversal of 10663640200 is 204636601.

10663640200 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 296735076 + 10366905124 = 17226^2 + 101818^2 .

It is a super-2 number, since 2×10663640200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 751572 + ... + 765628.

Almost surely, 2^10663640200 is an apocalyptic number.

10663640200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10663640200 is an abundant number, since it is smaller than the sum of its proper divisors (14137623980).

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

10663640200 is a wasteful number, since it uses less digits than its factorization.

10663640200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17866 (or 17857 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 10663640200 in words is "ten billion, six hundred sixty-three million, six hundred forty thousand, two hundred".