11509793881560 has 576 divisors, whose sum is σ = 42337350881280. Its totient is φ = 2810820579840.

The previous prime is 11509793881513. The next prime is 11509793881609. The reversal of 11509793881560 is 6518839790511.

11509793881560 is a `hidden beast` number, since 1 + 1 + 509 + 79 + 3 + 8 + 8 + 1 + 56 + 0 = 666.

It is a super-2 number, since 2×11509793881560² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 208592775 + ... + 208647945.

It is an arithmetic number, because the mean of its divisors is an integer number (73502345280).

Almost surely, 2^{11509793881560} is an apocalyptic number.

11509793881560 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 11509793881560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168675440640).

11509793881560 is an abundant number, since it is smaller than the sum of its proper divisors (30827556999720).

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

11509793881560 is a wasteful number, since it uses less digits than its factorization.

11509793881560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55350 (or 55321 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 63.

The spelling of 11509793881560 in words is "eleven trillion, five hundred nine billion, seven hundred ninety-three million, eight hundred eighty-one thousand, five hundred sixty".