11066581026720 has 240 divisors, whose sum is σ = 39434996240640. Its totient is φ = 2922436578816.

The previous prime is 11066581026689. The next prime is 11066581026731. The reversal of 11066581026720 is 2762018566011.

11066581026720 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 6 + 581 + 0 + 2 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2810280 + ... + 5480039.

It is an arithmetic number, because the mean of its divisors is an integer number (164312484336).

Almost surely, 2^{11066581026720} is an apocalyptic number.

11066581026720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11066581026720 is an abundant number, since it is smaller than the sum of its proper divisors (28368415213920).

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

11066581026720 is a wasteful number, since it uses less digits than its factorization.

11066581026720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8290449 (or 8290432 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11066581026720 in words is "eleven trillion, sixty-six billion, five hundred eighty-one million, twenty-six thousand, seven hundred twenty".