54319235504960 has 448 divisors, whose sum is σ = 149474615431680. Its totient is φ = 18689711800320.

The previous prime is 54319235504959. The next prime is 54319235505061. The reversal of 54319235504960 is 6940553291345.

54319235504960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54319235504896 and 54319235504905.

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 63 ways as a sum of consecutive naturals, for example, 212009252 + ... + 212265308.

It is an arithmetic number, because the mean of its divisors is an integer number (333648695160).

Almost surely, 2^{54319235504960} 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 54319235504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74737307715840).

54319235504960 is an abundant number, since it is smaller than the sum of its proper divisors (95155379926720).

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

54319235504960 is a wasteful number, since it uses less digits than its factorization.

54319235504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256194 (or 256184 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 56.

The spelling of 54319235504960 in words is "fifty-four trillion, three hundred nineteen billion, two hundred thirty-five million, five hundred four thousand, nine hundred sixty".