5511200 has 54 divisors (see below), whose sum is σ = 13618269. Its totient is φ = 2177920.

The previous prime is 5511169. The next prime is 5511203. The reversal of 5511200 is 21155.

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 5400976 + 110224 = 2324^2 + 332^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1660.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5511203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 66359 + ... + 66441.

Almost surely, 2^5511200 is an apocalyptic number.

5511200 is a gapful number since it is divisible by the number (50) 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 5511200

5511200 is an abundant number, since it is smaller than the sum of its proper divisors (8107069).

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

5511200 is an equidigital number, since it uses as much as digits as its factorization.

5511200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 90 counting only the distinct ones).

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

The square root of 5511200 is about 2347.5945135393. The cubic root of 5511200 is about 176.6371534102.

Multiplying 5511200 by its product of nonzero digits (50), we get a square (275560000 = 16600²).

5511200 divided by its product of nonzero digits (50) gives a square (110224 = 332²).

Adding to 5511200 its reverse (21155), we get a palindrome (5532355).

The spelling of 5511200 in words is "five million, five hundred eleven thousand, two hundred".