5511600 has 90 divisors (see below), whose sum is σ = 19139276. Its totient is φ = 1468800.

The previous prime is 5511599. The next prime is 5511601. The reversal of 5511600 is 61155.

5511600 is a `hidden beast` number, since 55 + 11 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5511599) and next prime (5511601).

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5511601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2835 + ... + 4365.

Almost surely, 2^5511600 is an apocalyptic number.

5511600 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 5511600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9569638).

5511600 is an abundant number, since it is smaller than the sum of its proper divisors (13627676).

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

5511600 is a wasteful number, since it uses less digits than its factorization.

5511600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 5511600 is about 2347.6797055817. The cubic root of 5511600 is about 176.6414267174.

Adding to 5511600 its reverse (61155), we get a palindrome (5572755).

The spelling of 5511600 in words is "five million, five hundred eleven thousand, six hundred".