11125560 has 128 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 2720256.

The previous prime is 11125553. The next prime is 11125613. The reversal of 11125560 is 6552111.

11125560 = 121² + 122² + ... + 327².

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79971 + ... + 80109.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 2^11125560 is an apocalyptic number.

11125560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3335×3336.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11125560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

11125560 is an abundant number, since it is smaller than the sum of its proper divisors (25162440).

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

11125560 is a wasteful number, since it uses less digits than its factorization.

11125560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 11125560 is about 3335.4999625244. The cubic root of 11125560 is about 223.2410004201.

Adding to 11125560 its reverse (6552111), we get a palindrome (17677671).

The spelling of 11125560 in words is "eleven million, one hundred twenty-five thousand, five hundred sixty".