5518800 has 240 divisors, whose sum is σ = 22756480. Its totient is φ = 1244160.

The previous prime is 5518687. The next prime is 5518817. The reversal of 5518800 is 88155.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75564 + ... + 75636.

Almost surely, 2^5518800 is an apocalyptic number.

5518800 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 5518800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11378240).

5518800 is an abundant number, since it is smaller than the sum of its proper divisors (17237680).

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

5518800 is a wasteful number, since it uses less digits than its factorization.

5518800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 5518800 is about 2349.2126340542. The cubic root of 5518800 is about 176.7183109172.

The spelling of 5518800 in words is "five million, five hundred eighteen thousand, eight hundred".