55116800 has 66 divisors (see below), whose sum is σ = 136686378. Its totient is φ = 22036480.

The previous prime is 55116781. The next prime is 55116827. The reversal of 55116800 is 861155.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 55115776 = 32^2 + 7424^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55116800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24524 + ... + 26676.

Almost surely, 2^55116800 is an apocalyptic number.

55116800 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 55116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68343189).

55116800 is an abundant number, since it is smaller than the sum of its proper divisors (81569578).

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

55116800 is a wasteful number, since it uses less digits than its factorization.

55116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 55116800 is about 7424.0689651969. The cubic root of 55116800 is about 380.5642586754.

Adding to 55116800 its reverse (861155), we get a palindrome (55977955).

The spelling of 55116800 in words is "fifty-five million, one hundred sixteen thousand, eight hundred".