11135053440 has 768 divisors, whose sum is σ = 46399392000. Its totient is φ = 2407071744.

The previous prime is 11135053373. The next prime is 11135053441. The reversal of 11135053440 is 4435053111.

It is a happy number.

11135053440 is a `hidden beast` number, since 1 + 113 + 505 + 3 + 4 + 40 = 666.

11135053440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11135053440² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11135053441) 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 95 ways as a sum of consecutive naturals, for example, 104065867 + ... + 104065973.

It is an arithmetic number, because the mean of its divisors is an integer number (60415875).

Almost surely, 2^11135053440 is an apocalyptic number.

11135053440 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 11135053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23199696000).

11135053440 is an abundant number, since it is smaller than the sum of its proper divisors (35264338560).

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

11135053440 is a wasteful number, since it uses less digits than its factorization.

11135053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 11135053440 in words is "eleven billion, one hundred thirty-five million, fifty-three thousand, four hundred forty".