55120240224 has 288 divisors, whose sum is σ = 191463906816. Its totient is φ = 14682746880.

The previous prime is 55120240211. The next prime is 55120240313. The reversal of 55120240224 is 42204202155.

55120240224 is a `hidden beast` number, since 5 + 51 + 202 + 402 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3659589 + ... + 3674619.

It is an arithmetic number, because the mean of its divisors is an integer number (664805232).

Almost surely, 2^55120240224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55120240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95731953408).

55120240224 is an abundant number, since it is smaller than the sum of its proper divisors (136343666592).

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

55120240224 is a wasteful number, since it uses less digits than its factorization.

55120240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15178 (or 15167 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 55120240224 its reverse (42204202155), we get a palindrome (97324442379).

The spelling of 55120240224 in words is "fifty-five billion, one hundred twenty million, two hundred forty thousand, two hundred twenty-four".