11505288678144 has 432 divisors, whose sum is σ = 34075440604800. Its totient is φ = 3436028411904.

The previous prime is 11505288678139. The next prime is 11505288678187. The reversal of 11505288678144 is 44187688250511.

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 47 ways as a sum of consecutive naturals, for example, 686997579 + ... + 687014325.

Almost surely, 2^{11505288678144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11505288678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17037720302400).

11505288678144 is an abundant number, since it is smaller than the sum of its proper divisors (22570151926656).

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

11505288678144 is a wasteful number, since it uses less digits than its factorization.

11505288678144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16920 (or 16883 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 60.

The spelling of 11505288678144 in words is "eleven trillion, five hundred five billion, two hundred eighty-eight million, six hundred seventy-eight thousand, one hundred forty-four".