11563321440 has 288 divisors, whose sum is σ = 40504756320. Its totient is φ = 2770493440.

The previous prime is 11563321421. The next prime is 11563321513. The reversal of 11563321440 is 4412336511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11563321398 and 11563321407.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5168002 + ... + 5170238.

It is an arithmetic number, because the mean of its divisors is an integer number (140641515).

Almost surely, 2^11563321440 is an apocalyptic number.

11563321440 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 11563321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20252378160).

11563321440 is an abundant number, since it is smaller than the sum of its proper divisors (28941434880).

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

11563321440 is a wasteful number, since it uses less digits than its factorization.

11563321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 11563321440 its reverse (4412336511), we get a palindrome (15975657951).

The spelling of 11563321440 in words is "eleven billion, five hundred sixty-three million, three hundred twenty-one thousand, four hundred forty".