55535284224 has 624 divisors, whose sum is σ = 197905044480. Its totient is φ = 14651228160.

The previous prime is 55535284201. The next prime is 55535284237. The reversal of 55535284224 is 42248253555.

55535284224 is a `hidden beast` number, since 5 + 553 + 52 + 8 + 42 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55535284224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230436744 + ... + 230436984.

It is an arithmetic number, because the mean of its divisors is an integer number (317155520).

Almost surely, 2^55535284224 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 55535284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98952522240).

55535284224 is an abundant number, since it is smaller than the sum of its proper divisors (142369760256).

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

55535284224 is a wasteful number, since it uses less digits than its factorization.

55535284224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 319 counting only the distinct ones).

The product of its digits is 1920000, while the sum is 45.

The spelling of 55535284224 in words is "fifty-five billion, five hundred thirty-five million, two hundred eighty-four thousand, two hundred twenty-four".