11106647597568 has 640 divisors, whose sum is σ = 33375713817600. Its totient is φ = 3266924838912.

The previous prime is 11106647597561. The next prime is 11106647597687. The reversal of 11106647597568 is 86579574660111.

It is a junction number, because it is equal to n+sod(n) for n = 11106647597499 and 11106647597508.

It is not an unprimeable number, because it can be changed into a prime (11106647597561) 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, 3020571346 + ... + 3020575022.

It is an arithmetic number, because the mean of its divisors is an integer number (52149552840).

Almost surely, 2^{11106647597568} 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 11106647597568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16687856908800).

11106647597568 is an abundant number, since it is smaller than the sum of its proper divisors (22269066220032).

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

11106647597568 is a wasteful number, since it uses less digits than its factorization.

11106647597568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 66.

The spelling of 11106647597568 in words is "eleven trillion, one hundred six billion, six hundred forty-seven million, five hundred ninety-seven thousand, five hundred sixty-eight".