54555133200 has 240 divisors, whose sum is σ = 184212168000. Its totient is φ = 13763174400.

The previous prime is 54555133189. The next prime is 54555133229. The reversal of 54555133200 is 233155545.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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, 23916060 + ... + 23918340.

It is an arithmetic number, because the mean of its divisors is an integer number (767550700).

Almost surely, 2^54555133200 is an apocalyptic number.

54555133200 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 54555133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92106084000).

54555133200 is an abundant number, since it is smaller than the sum of its proper divisors (129657034800).

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

54555133200 is a wasteful number, since it uses less digits than its factorization.

54555133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

Adding to 54555133200 its reverse (233155545), we get a palindrome (54788288745).

The spelling of 54555133200 in words is "fifty-four billion, five hundred fifty-five million, one hundred thirty-three thousand, two hundred".