11511003053440 has 384 divisors, whose sum is σ = 30645056786400. Its totient is φ = 4130999009280.

The previous prime is 11511003053419. The next prime is 11511003053453. The reversal of 11511003053440 is 4435030011511.

It is a junction number, because it is equal to n+sod(n) for n = 11511003053399 and 11511003053408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4665991087 + ... + 4665993553.

Almost surely, 2^{11511003053440} is an apocalyptic number.

11511003053440 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 11511003053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15322528393200).

11511003053440 is an abundant number, since it is smaller than the sum of its proper divisors (19134053732960).

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

11511003053440 is a wasteful number, since it uses less digits than its factorization.

11511003053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 11511003053440 its reverse (4435030011511), we get a palindrome (15946033064951).

The spelling of 11511003053440 in words is "eleven trillion, five hundred eleven billion, three million, fifty-three thousand, four hundred forty".