11063646072720 has 400 divisors, whose sum is σ = 40697763823728. Its totient is φ = 2775956520960.

The previous prime is 11063646072709. The next prime is 11063646072733. The reversal of 11063646072720 is 2727064636011.

11063646072720 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 36 + 4 + 607 + 2 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2717117063424 + 8346529009296 = 1648368^2 + 2889036^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 442940872 + ... + 442965848.

Almost surely, 2^{11063646072720} is an apocalyptic number.

11063646072720 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 11063646072720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20348881911864).

11063646072720 is an abundant number, since it is smaller than the sum of its proper divisors (29634117751008).

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

11063646072720 is a wasteful number, since it uses less digits than its factorization.

11063646072720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29040 (or 29025 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 11063646072720 in words is "eleven trillion, sixty-three billion, six hundred forty-six million, seventy-two thousand, seven hundred twenty".