54511234304000 has 192 divisors, whose sum is σ = 138057117569280. Its totient is φ = 21479046758400.

The previous prime is 54511234303987. The next prime is 54511234304047. The reversal of 54511234304000 is 40343211545.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 15562937 + ... + 18741063.

It is an arithmetic number, because the mean of its divisors is an integer number (719047487340).

Almost surely, 2^{54511234304000} is an apocalyptic number.

54511234304000 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 54511234304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69028558784640).

54511234304000 is an abundant number, since it is smaller than the sum of its proper divisors (83545883265280).

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

54511234304000 is an equidigital number, since it uses as much as digits as its factorization.

54511234304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178231 (or 3178201 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 54511234304000 its reverse (40343211545), we get a palindrome (54551577515545).

The spelling of 54511234304000 in words is "fifty-four trillion, five hundred eleven billion, two hundred thirty-four million, three hundred four thousand".