11000011011080 has 512 divisors, whose sum is σ = 34141797043200. Its totient is φ = 3089961713664.

The previous prime is 11000011011079. The next prime is 11000011011083. The reversal of 11000011011080 is 8011011000011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11000011011083) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77093084 + ... + 77235636.

It is an arithmetic number, because the mean of its divisors is an integer number (66683197350).

Almost surely, 2^{11000011011080} is an apocalyptic number.

11000011011080 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 11000011011080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17070898521600).

11000011011080 is an abundant number, since it is smaller than the sum of its proper divisors (23141786032120).

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

11000011011080 is a wasteful number, since it uses less digits than its factorization.

11000011011080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142673 (or 142669 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11000011011080 its reverse (8011011000011), we get a palindrome (19011022011091).

The spelling of 11000011011080 in words is "eleven trillion, eleven million, eleven thousand, eighty".