54543403200000 has 1920 divisors, whose sum is σ = 214923659005440. Its totient is φ = 12117196800000.

The previous prime is 54543403199939. The next prime is 54543403200007. The reversal of 54543403200000 is 230434545.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54543403200007) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 157185599827 + ... + 157185600173.

It is an arithmetic number, because the mean of its divisors is an integer number (111939405732).

Almost surely, 2^{54543403200000} is an apocalyptic number.

54543403200000 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 54543403200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107461829502720).

54543403200000 is an abundant number, since it is smaller than the sum of its proper divisors (160380255805440).

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

54543403200000 is a wasteful number, since it uses less digits than its factorization.

54543403200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 54543403200000 its reverse (230434545), we get a palindrome (54543633634545).

The spelling of 54543403200000 in words is "fifty-four trillion, five hundred forty-three billion, four hundred three million, two hundred thousand".