54344840837760 has 768 divisors, whose sum is σ = 213605249195520. Its totient is φ = 13093614489600.

The previous prime is 54344840837701. The next prime is 54344840837761. The reversal of 54344840837760 is 6773804844345.

54344840837760 is a `hidden beast` number, since 5 + 4 + 3 + 4 + 484 + 0 + 83 + 7 + 76 + 0 = 666.

54344840837760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54344840837761) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 278749915 + ... + 278944805.

It is an arithmetic number, because the mean of its divisors is an integer number (278131834890).

Almost surely, 2^{54344840837760} 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 54344840837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106802624597760).

54344840837760 is an abundant number, since it is smaller than the sum of its proper divisors (159260408357760).

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

54344840837760 is a wasteful number, since it uses less digits than its factorization.

54344840837760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195099 (or 195075 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 54344840837760 in words is "fifty-four trillion, three hundred forty-four billion, eight hundred forty million, eight hundred thirty-seven thousand, seven hundred sixty".