11010933349920 has 1152 divisors, whose sum is σ = 46603646369280. Its totient is φ = 2309797969920.

The previous prime is 11010933349919. The next prime is 11010933349943. The reversal of 11010933349920 is 2994333901011.

It is a happy number.

11010933349920 is a `hidden beast` number, since 1 + 1 + 0 + 109 + 3 + 33 + 499 + 20 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 7434795580 + ... + 7434797060.

It is an arithmetic number, because the mean of its divisors is an integer number (40454554140).

Almost surely, 2^{11010933349920} is an apocalyptic number.

11010933349920 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 11010933349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23301823184640).

11010933349920 is an abundant number, since it is smaller than the sum of its proper divisors (35592713019360).

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

11010933349920 is a wasteful number, since it uses less digits than its factorization.

11010933349920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 11010933349920 in words is "eleven trillion, ten billion, nine hundred thirty-three million, three hundred forty-nine thousand, nine hundred twenty".