11063649860640 has 288 divisors, whose sum is σ = 40767944096880. Its totient is φ = 2716057018368.

The previous prime is 11063649860639. The next prime is 11063649860647. The reversal of 11063649860640 is 4606894636011.

11063649860640 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 36 + 498 + 60 + 64 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1513992437136 + 9549657423504 = 1230444^2 + 3090252^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11063649860647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6190326 + ... + 7774794.

Almost surely, 2^{11063649860640} is an apocalyptic number.

11063649860640 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 11063649860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383972048440).

11063649860640 is an abundant number, since it is smaller than the sum of its proper divisors (29704294236240).

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

11063649860640 is a wasteful number, since it uses less digits than its factorization.

11063649860640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584876 (or 1584865 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 11063649860640 in words is "eleven trillion, sixty-three billion, six hundred forty-nine million, eight hundred sixty thousand, six hundred forty".