11109905352 has 256 divisors, whose sum is σ = 38106432000. Its totient is φ = 2920541184.

The previous prime is 11109905347. The next prime is 11109905369. The reversal of 11109905352 is 25350990111.

11109905352 is a `hidden beast` number, since 1 + 110 + 9 + 9 + 0 + 535 + 2 = 666.

11109905352 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 (36).

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, 7645458 + ... + 7646910.

It is an arithmetic number, because the mean of its divisors is an integer number (148853250).

Almost surely, 2^11109905352 is an apocalyptic number.

11109905352 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 11109905352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19053216000).

11109905352 is an abundant number, since it is smaller than the sum of its proper divisors (26996526648).

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

11109905352 is a wasteful number, since it uses less digits than its factorization.

11109905352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 11109905352 in words is "eleven billion, one hundred nine million, nine hundred five thousand, three hundred fifty-two".