11511235440 has 120 divisors (see below), whose sum is σ = 39601559088. Its totient is φ = 2994785280.

The previous prime is 11511235429. The next prime is 11511235459. The reversal of 11511235440 is 4453211511.

11511235440 is a `hidden beast` number, since 1 + 1 + 5 + 112 + 3 + 544 + 0 = 666.

11511235440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×11511235440² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165454 + ... + 224493.

Almost surely, 2^11511235440 is an apocalyptic number.

11511235440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11511235440 is an abundant number, since it is smaller than the sum of its proper divisors (28090323648).

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

11511235440 is a wasteful number, since it uses less digits than its factorization.

11511235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390007 (or 389998 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11511235440 its reverse (4453211511), we get a palindrome (15964446951).

The spelling of 11511235440 in words is "eleven billion, five hundred eleven million, two hundred thirty-five thousand, four hundred forty".