11552000 has 108 divisors (see below), whose sum is σ = 30371796. Its totient is φ = 4377600.

The previous prime is 11551999. The next prime is 11552011. The reversal of 11552000 is 25511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 369664 + 11182336 = 608^2 + 3344^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 607991 + ... + 608009.

Almost surely, 2^11552000 is an apocalyptic number.

11552000 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 11552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15185898).

11552000 is an abundant number, since it is smaller than the sum of its proper divisors (18819796).

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

11552000 is an frugal number, since it uses more digits than its factorization.

11552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 11552000 is about 3398.8233257997. The cubic root of 11552000 is about 226.0575727184.

Adding to 11552000 its reverse (25511), we get a palindrome (11577511).

The spelling of 11552000 in words is "eleven million, five hundred fifty-two thousand".