11505400144 has 80 divisors (see below), whose sum is σ = 27741974400. Its totient is φ = 4510259712.

The previous prime is 11505400129. The next prime is 11505400169. The reversal of 11505400144 is 44100450511.

11505400144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 31507 + ... + 154930.

It is an arithmetic number, because the mean of its divisors is an integer number (346774680).

Almost surely, 2^11505400144 is an apocalyptic number.

11505400144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11505400144 is an abundant number, since it is smaller than the sum of its proper divisors (16236574256).

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

11505400144 is a wasteful number, since it uses less digits than its factorization.

11505400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186500 (or 186494 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 11505400144 its reverse (44100450511), we get a palindrome (55605850655).

The spelling of 11505400144 in words is "eleven billion, five hundred five million, four hundred thousand, one hundred forty-four".