55338816960 has 504 divisors, whose sum is σ = 227447307360. Its totient is φ = 12096589824.

The previous prime is 55338816919. The next prime is 55338816971. The reversal of 55338816960 is 6961883355.

55338816960 is a `hidden beast` number, since 5 + 533 + 8 + 8 + 16 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 55338816897 and 55338816906.

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 71 ways as a sum of consecutive naturals, for example, 10662046 + ... + 10667234.

It is an arithmetic number, because the mean of its divisors is an integer number (451284340).

Almost surely, 2^55338816960 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 55338816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113723653680).

55338816960 is an abundant number, since it is smaller than the sum of its proper divisors (172108490400).

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

55338816960 is a wasteful number, since it uses less digits than its factorization.

55338816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 55338816960 in words is "fifty-five billion, three hundred thirty-eight million, eight hundred sixteen thousand, nine hundred sixty".