55144800 has 360 divisors, whose sum is σ = 215517456. Its totient is φ = 13685760.

The previous prime is 55144781. The next prime is 55144807. The reversal of 55144800 is 844155.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55144807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1490382 + ... + 1490418.

Almost surely, 2^55144800 is an apocalyptic number.

55144800 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 55144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107758728).

55144800 is an abundant number, since it is smaller than the sum of its proper divisors (160372656).

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

55144800 is a wasteful number, since it uses less digits than its factorization.

55144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 55144800 is about 7425.9544841051. The cubic root of 55144800 is about 380.6286915122.

Adding to 55144800 its reverse (844155), we get a palindrome (55988955).

The spelling of 55144800 in words is "fifty-five million, one hundred forty-four thousand, eight hundred".