11563305984 has 220 divisors, whose sum is σ = 34874329600. Its totient is φ = 3816087552.

The previous prime is 11563305977. The next prime is 11563305997. The reversal of 11563305984 is 48950336511.

11563305984 is a `hidden beast` number, since 1 + 1 + 5 + 633 + 0 + 5 + 9 + 8 + 4 = 666.

It is a super-2 number, since 2×11563305984² (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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9040257 + ... + 9041535.

It is an arithmetic number, because the mean of its divisors is an integer number (158519680).

Almost surely, 2^11563305984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11563305984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17437164800).

11563305984 is an abundant number, since it is smaller than the sum of its proper divisors (23311023616).

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

11563305984 is a wasteful number, since it uses less digits than its factorization.

11563305984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 11563305984 in words is "eleven billion, five hundred sixty-three million, three hundred five thousand, nine hundred eighty-four".