11033563551066 has 192 divisors, whose sum is σ = 27694916960256. Its totient is φ = 3109662057600.

The previous prime is 11033563551013. The next prime is 11033563551077. The reversal of 11033563551066 is 66015536533011.

11033563551066 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 3 + 5 + 635 + 5 + 1 + 0 + 6 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2346066871 + ... + 2346071573.

It is an arithmetic number, because the mean of its divisors is an integer number (144244359168).

Almost surely, 2^{11033563551066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11033563551066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13847458480128).

11033563551066 is an abundant number, since it is smaller than the sum of its proper divisors (16661353409190).

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

11033563551066 is a wasteful number, since it uses less digits than its factorization.

11033563551066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 11033563551066 in words is "eleven trillion, thirty-three billion, five hundred sixty-three million, five hundred fifty-one thousand, sixty-six".