11255520 has 96 divisors (see below), whose sum is σ = 35925120. Its totient is φ = 2961920.

The previous prime is 11255507. The next prime is 11255527. The reversal of 11255520 is 2555211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11255527) 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, 62791 + ... + 62969.

It is an arithmetic number, because the mean of its divisors is an integer number (374220).

Almost surely, 2^11255520 is an apocalyptic number.

11255520 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 11255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962560).

11255520 is an abundant number, since it is smaller than the sum of its proper divisors (24669600).

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

11255520 is a wasteful number, since it uses less digits than its factorization.

11255520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 11255520 is about 3354.9247383511. The cubic root of 11255520 is about 224.1068792677.

It can be divided in two parts, 112555 and 20, that added together give a triangular number (112575 = T₄₇₄).

The spelling of 11255520 in words is "eleven million, two hundred fifty-five thousand, five hundred twenty".