11509982550000 has 2400 divisors, whose sum is σ = 48103496179200. Its totient is φ = 2630880000000.

The previous prime is 11509982549963. The next prime is 11509982550007. The reversal of 11509982550000 is 5528990511.

11509982550000 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 9 + 98 + 2 + 550 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11509982550007) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 76225049925 + ... + 76225050075.

It is an arithmetic number, because the mean of its divisors is an integer number (20043123408).

Almost surely, 2^{11509982550000} is an apocalyptic number.

11509982550000 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 11509982550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24051748089600).

11509982550000 is an abundant number, since it is smaller than the sum of its proper divisors (36593513629200).

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

11509982550000 is a wasteful number, since it uses less digits than its factorization.

11509982550000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The spelling of 11509982550000 in words is "eleven trillion, five hundred nine billion, nine hundred eighty-two million, five hundred fifty thousand".