55344450242200 has 96 divisors (see below), whose sum is σ = 155708587807200. Its totient is φ = 17859049482240.

The previous prime is 55344450242177. The next prime is 55344450242209. The reversal of 55344450242200 is 224205444355.

It is a super-2 number, since 2×55344450242200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55344450242209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1162674735 + ... + 1162722334.

It is an arithmetic number, because the mean of its divisors is an integer number (1621964456325).

Almost surely, 2^{55344450242200} is an apocalyptic number.

55344450242200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55344450242200 is an abundant number, since it is smaller than the sum of its proper divisors (100364137565000).

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

55344450242200 is a wasteful number, since it uses less digits than its factorization.

55344450242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325397109 (or 2325397100 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 40.

Adding to 55344450242200 its reverse (224205444355), we get a palindrome (55568655686555).

The spelling of 55344450242200 in words is "fifty-five trillion, three hundred forty-four billion, four hundred fifty million, two hundred forty-two thousand, two hundred".