11055605555100 has 144 divisors (see below), whose sum is σ = 32296682880000. Its totient is φ = 2919696433920.

The previous prime is 11055605555083. The next prime is 11055605555101. The reversal of 11055605555100 is 155550655011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11055605555101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68163901 + ... + 68325899.

It is an arithmetic number, because the mean of its divisors is an integer number (224282520000).

Almost surely, 2^{11055605555100} is an apocalyptic number.

11055605555100 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 11055605555100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148341440000).

11055605555100 is an abundant number, since it is smaller than the sum of its proper divisors (21241077324900).

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

11055605555100 is a wasteful number, since it uses less digits than its factorization.

11055605555100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164212 (or 164205 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 39.

The spelling of 11055605555100 in words is "eleven trillion, fifty-five billion, six hundred five million, five hundred fifty-five thousand, one hundred".