11068785574560 has 1152 divisors, whose sum is σ = 47977013919744. Its totient is φ = 2354552893440.

The previous prime is 11068785574541. The next prime is 11068785574577. The reversal of 11068785574560 is 6547558786011.

It is a happy number.

11068785574560 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 8 + 7 + 8 + 5 + 574 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 231584265 + ... + 231632055.

It is an arithmetic number, because the mean of its divisors is an integer number (41646713472).

Almost surely, 2^{11068785574560} is an apocalyptic number.

11068785574560 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 11068785574560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23988506959872).

11068785574560 is an abundant number, since it is smaller than the sum of its proper divisors (36908228345184).

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

11068785574560 is a wasteful number, since it uses less digits than its factorization.

11068785574560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47888 (or 47868 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 11068785574560 in words is "eleven trillion, sixty-eight billion, seven hundred eighty-five million, five hundred seventy-four thousand, five hundred sixty".