11203568640 has 792 divisors, whose sum is σ = 45661921344. Its totient is φ = 2514124800.

The previous prime is 11203568627. The next prime is 11203568683. The reversal of 11203568640 is 4686530211.

It is a happy number.

11203568640 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 3 + 5 + 6 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11203568595 and 11203568604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 361405425 + ... + 361405455.

Almost surely, 2^11203568640 is an apocalyptic number.

11203568640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11203568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22830960672).

11203568640 is an abundant number, since it is smaller than the sum of its proper divisors (34458352704).

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

11203568640 is a wasteful number, since it uses less digits than its factorization.

11203568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11203568640 in words is "eleven billion, two hundred three million, five hundred sixty-eight thousand, six hundred forty".