11404511160 has 128 divisors (see below), whose sum is σ = 39504568320. Its totient is φ = 2579853312.

The previous prime is 11404511123. The next prime is 11404511161. The reversal of 11404511160 is 6111540411.

11404511160 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11404511160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11404511161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11497 + ... + 151463.

It is an arithmetic number, because the mean of its divisors is an integer number (308629440).

Almost surely, 2^11404511160 is an apocalyptic number.

11404511160 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 11404511160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752284160).

11404511160 is an abundant number, since it is smaller than the sum of its proper divisors (28100057160).

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

11404511160 is a wasteful number, since it uses less digits than its factorization.

11404511160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140085 (or 140081 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The spelling of 11404511160 in words is "eleven billion, four hundred four million, five hundred eleven thousand, one hundred sixty".