11550 has 48 divisors (see below), whose sum is σ = 35712. Its totient is φ = 2400.

The previous prime is 11549. The next prime is 11551. The reversal of 11550 is 5511.

11550 is nontrivially palindromic in base 4.

It is an interprime number because it is at equal distance from previous prime (11549) and next prime (11551).

It is a nialpdrome in base 5 and base 11.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1045 + ... + 1055.

It is an arithmetic number, because the mean of its divisors is an integer number (744).

2¹¹⁵⁵⁰ is an apocalyptic number.

11550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856).

11550 is an abundant number, since it is smaller than the sum of its proper divisors (24162).

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

11550 is a wasteful number, since it uses less digits than its factorization.

11550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 11550 is about 107.4709263010. The cubic root of 11550 is about 22.6044526168.

It can be divided in two parts, 11 and 550, that added together give a triangular number (561 = T₃₃).

The spelling of 11550 in words is "eleven thousand, five hundred fifty".