11563314144560 has 320 divisors, whose sum is σ = 29240168330880. Its totient is φ = 4236611420160.

The previous prime is 11563314144461. The next prime is 11563314144563. The reversal of 11563314144560 is 6544141336511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11563314144563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3830178731 + ... + 3830181749.

It is an arithmetic number, because the mean of its divisors is an integer number (91375526034).

Almost surely, 2^{11563314144560} is an apocalyptic number.

11563314144560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11563314144560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14620084165440).

11563314144560 is an abundant number, since it is smaller than the sum of its proper divisors (17676854186320).

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

11563314144560 is a wasteful number, since it uses less digits than its factorization.

11563314144560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 11563314144560 in words is "eleven trillion, five hundred sixty-three billion, three hundred fourteen million, one hundred forty-four thousand, five hundred sixty".