11054817120 has 384 divisors, whose sum is σ = 39217167360. Its totient is φ = 2601123840.

The previous prime is 11054817107. The next prime is 11054817143. The reversal of 11054817120 is 2171845011.

11054817120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 17519205 + ... + 17519835.

It is an arithmetic number, because the mean of its divisors is an integer number (102128040).

Almost surely, 2^11054817120 is an apocalyptic number.

11054817120 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 11054817120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19608583680).

11054817120 is an abundant number, since it is smaller than the sum of its proper divisors (28162350240).

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

11054817120 is a wasteful number, since it uses less digits than its factorization.

11054817120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 30.

The spelling of 11054817120 in words is "eleven billion, fifty-four million, eight hundred seventeen thousand, one hundred twenty".