11105481552 has 160 divisors (see below), whose sum is σ = 33147878400. Its totient is φ = 3170703360.

The previous prime is 11105481521. The next prime is 11105481593. The reversal of 11105481552 is 25518450111.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806824 + ... + 820472.

It is an arithmetic number, because the mean of its divisors is an integer number (207174240).

Almost surely, 2^11105481552 is an apocalyptic number.

11105481552 is a gapful number since it is divisible by the number (12) 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 11105481552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16573939200).

11105481552 is an abundant number, since it is smaller than the sum of its proper divisors (22042396848).

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

11105481552 is a wasteful number, since it uses less digits than its factorization.

11105481552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13761 (or 13755 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 33.

The spelling of 11105481552 in words is "eleven billion, one hundred five million, four hundred eighty-one thousand, five hundred fifty-two".