55054800 has 180 divisors, whose sum is σ = 196240044. Its totient is φ = 14284800.

The previous prime is 55054697. The next prime is 55054819. The reversal of 55054800 is 845055.

It can be written as a sum of positive squares in 6 ways, for example, as 8433216 + 46621584 = 2904^2 + 6828^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147414 + ... + 147786.

Almost surely, 2^55054800 is an apocalyptic number.

55054800 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 55054800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98120022).

55054800 is an abundant number, since it is smaller than the sum of its proper divisors (141185244).

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

55054800 is a wasteful number, since it uses less digits than its factorization.

55054800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 55054800 is about 7419.8921825051. The cubic root of 55054800 is about 380.4215082692.

Adding to 55054800 its reverse (845055), we get a palindrome (55899855).

The spelling of 55054800 in words is "fifty-five million, fifty-four thousand, eight hundred".