11520691340544 has 288 divisors, whose sum is σ = 34819654464000. Its totient is φ = 3755706679296.

The previous prime is 11520691340519. The next prime is 11520691340563. The reversal of 11520691340544 is 44504319602511.

11520691340544 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 0 + 69 + 1 + 3 + 40 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 11520691340544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457720792 + ... + 457745960.

It is an arithmetic number, because the mean of its divisors is an integer number (120901578000).

Almost surely, 2^{11520691340544} 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 11520691340544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409827232000).

11520691340544 is an abundant number, since it is smaller than the sum of its proper divisors (23298963123456).

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

11520691340544 is a wasteful number, since it uses less digits than its factorization.

11520691340544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26650 (or 26630 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 11520691340544 in words is "eleven trillion, five hundred twenty billion, six hundred ninety-one million, three hundred forty thousand, five hundred forty-four".