11544130153040 has 20 divisors (see below), whose sum is σ = 26840102606004. Its totient is φ = 4617652061184.

The previous prime is 11544130153033. The next prime is 11544130153109. The reversal of 11544130153040 is 4035103144511.

It can be written as a sum of positive squares in 2 ways, for example, as 9143390630416 + 2400739522624 = 3023804^2 + 1549432^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 11544130152988 and 11544130153006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72150813377 + ... + 72150813536.

Almost surely, 2^{11544130153040} is an apocalyptic number.

11544130153040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11544130153040 is an abundant number, since it is smaller than the sum of its proper divisors (15295972452964).

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

11544130153040 is a wasteful number, since it uses less digits than its factorization.

11544130153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144301626926 (or 144301626920 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 11544130153040 its reverse (4035103144511), we get a palindrome (15579233297551).

The spelling of 11544130153040 in words is "eleven trillion, five hundred forty-four billion, one hundred thirty million, one hundred fifty-three thousand, forty".