11509563985920 has 3744 divisors, whose sum is σ = 55503287513856. Its totient is φ = 2145732526080.

The previous prime is 11509563985903. The next prime is 11509563985939. The reversal of 11509563985920 is 2958936590511.

11509563985920 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 9 + 5 + 6 + 39 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 107566018507 + ... + 107566018613.

It is an arithmetic number, because the mean of its divisors is an integer number (14824596024).

Almost surely, 2^{11509563985920} is an apocalyptic number.

11509563985920 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 11509563985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27751643756928).

11509563985920 is an abundant number, since it is smaller than the sum of its proper divisors (43993723527936).

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

11509563985920 is a wasteful number, since it uses less digits than its factorization.

11509563985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 26244000, while the sum is 63.

The spelling of 11509563985920 in words is "eleven trillion, five hundred nine billion, five hundred sixty-three million, nine hundred eighty-five thousand, nine hundred twenty".