11045014204020 has 192 divisors, whose sum is σ = 31516539264000. Its totient is φ = 2889592602624.

The previous prime is 11045014204019. The next prime is 11045014204057. The reversal of 11045014204020 is 2040241054011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2205031276 + ... + 2205036284.

It is an arithmetic number, because the mean of its divisors is an integer number (164148642000).

Almost surely, 2^{11045014204020} is an apocalyptic number.

11045014204020 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 11045014204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15758269632000).

11045014204020 is an abundant number, since it is smaller than the sum of its proper divisors (20471525059980).

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

11045014204020 is a wasteful number, since it uses less digits than its factorization.

11045014204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7962 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 11045014204020 its reverse (2040241054011), we get a palindrome (13085255258031).

The spelling of 11045014204020 in words is "eleven trillion, forty-five billion, fourteen million, two hundred four thousand, twenty".