11035504080 has 120 divisors (see below), whose sum is σ = 37108562400. Its totient is φ = 2939016960.

The previous prime is 11035504069. The next prime is 11035504141. The reversal of 11035504080 is 8040553011.

11035504080 is a `hidden beast` number, since 1 + 103 + 550 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574471 + ... + 593369.

It is an arithmetic number, because the mean of its divisors is an integer number (309238020).

Almost surely, 2^11035504080 is an apocalyptic number.

11035504080 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 11035504080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18554281200).

11035504080 is an abundant number, since it is smaller than the sum of its proper divisors (26073058320).

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

11035504080 is a wasteful number, since it uses less digits than its factorization.

11035504080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19729 (or 19720 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 11035504080 in words is "eleven billion, thirty-five million, five hundred four thousand, eighty".