11153280 has 128 divisors (see below), whose sum is σ = 36744480. Its totient is φ = 2875392.

The previous prime is 11153269. The next prime is 11153287. The reversal of 11153280 is 8235111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11153287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70962 + ... + 71118.

Almost surely, 2^11153280 is an apocalyptic number.

11153280 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 11153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18372240).

11153280 is an abundant number, since it is smaller than the sum of its proper divisors (25591200).

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

11153280 is a wasteful number, since it uses less digits than its factorization.

11153280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 11153280 is about 3339.6526765519. The cubic root of 11153280 is about 223.4262527633.

Adding to 11153280 its reverse (8235111), we get a palindrome (19388391).

The spelling of 11153280 in words is "eleven million, one hundred fifty-three thousand, two hundred eighty".