11085788494080 has 288 divisors, whose sum is σ = 41409636374400. Its totient is φ = 2800620085248.

The previous prime is 11085788494057. The next prime is 11085788494091. The reversal of 11085788494080 is 8049488758011.

11085788494080 is a `hidden beast` number, since 1 + 1 + 0 + 85 + 78 + 84 + 9 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 11085788493999 and 11085788494017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7784659 + ... + 9097938.

Almost surely, 2^{11085788494080} is an apocalyptic number.

11085788494080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11085788494080 is an abundant number, since it is smaller than the sum of its proper divisors (30323847880320).

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

11085788494080 is a wasteful number, since it uses less digits than its factorization.

11085788494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16882646 (or 16882626 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 11085788494080 in words is "eleven trillion, eighty-five billion, seven hundred eighty-eight million, four hundred ninety-four thousand, eighty".