11153410240 has 224 divisors, whose sum is σ = 32534498304. Its totient is φ = 3558297600.

The previous prime is 11153410181. The next prime is 11153410243. The reversal of 11153410240 is 4201435111.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (11153410243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1903315 + ... + 1909165.

It is an arithmetic number, because the mean of its divisors is an integer number (145243296).

Almost surely, 2^11153410240 is an apocalyptic number.

11153410240 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 11153410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16267249152).

11153410240 is an abundant number, since it is smaller than the sum of its proper divisors (21381088064).

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

11153410240 is a wasteful number, since it uses less digits than its factorization.

11153410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935 (or 5925 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 11153410240 its reverse (4201435111), we get a palindrome (15354845351).

The spelling of 11153410240 in words is "eleven billion, one hundred fifty-three million, four hundred ten thousand, two hundred forty".