11500 has 24 divisors (see below), whose sum is σ = 26208. Its totient is φ = 4400.

The previous prime is 11497. The next prime is 11503. The reversal of 11500 is 511.

It is an interprime number because it is at equal distance from previous prime (11497) and next prime (11503).

It is an Ulam number.

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (11503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (1092).

2¹¹⁵⁰⁰ is an apocalyptic number.

11500 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 11500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104).

11500 is an abundant number, since it is smaller than the sum of its proper divisors (14708).

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

11500 is a wasteful number, since it uses less digits than its factorization.

11500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 11500 is about 107.2380529476. The cubic root of 11500 is about 22.5717871774.

The spelling of 11500 in words is "eleven thousand, five hundred".