11505125123440 has 40 divisors (see below), whose sum is σ = 28807063292448. Its totient is φ = 4248046199040.

The previous prime is 11505125123413. The next prime is 11505125123473. The reversal of 11505125123440 is 4432152150511.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11505125123396 and 11505125123405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5531309116 + ... + 5531311195.

Almost surely, 2^{11505125123440} is an apocalyptic number.

11505125123440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11505125123440 is an abundant number, since it is smaller than the sum of its proper divisors (17301938169008).

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

11505125123440 is a wasteful number, since it uses less digits than its factorization.

11505125123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11062620337 (or 11062620331 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

Adding to 11505125123440 its reverse (4432152150511), we get a palindrome (15937277273951).

The spelling of 11505125123440 in words is "eleven trillion, five hundred five billion, one hundred twenty-five million, one hundred twenty-three thousand, four hundred forty".