54339049543680 has 3456 divisors, whose sum is σ = 230599260702720. Its totient is φ = 11771943321600.

The previous prime is 54339049543633. The next prime is 54339049543721. The reversal of 54339049543680 is 8634594093345.

54339049543680 is a `hidden beast` number, since 5 + 4 + 3 + 3 + 9 + 0 + 4 + 9 + 543 + 6 + 80 = 666.

54339049543680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 427866531777 + ... + 427866531903.

It is an arithmetic number, because the mean of its divisors is an integer number (66724323120).

Almost surely, 2^{54339049543680} 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 54339049543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115299630351360).

54339049543680 is an abundant number, since it is smaller than the sum of its proper divisors (176260211159040).

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

54339049543680 is a wasteful number, since it uses less digits than its factorization.

54339049543680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 54339049543680 in words is "fifty-four trillion, three hundred thirty-nine billion, forty-nine million, five hundred forty-three thousand, six hundred eighty".