54360893064256 has 63 divisors (see below), whose sum is σ = 110222008687749. Its totient is φ = 26600782530048.

The previous prime is 54360893064223. The next prime is 54360893064293. The reversal of 54360893064256 is 65246039806345.

The square root of 54360893064256 is 7372984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54261138158656 + 99754905600 = 7366216^2 + 315840^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54360893064194 and 54360893064203.

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 8 ways as a sum of consecutive naturals, for example, 2772232180 + ... + 2772251788.

Almost surely, 2^{54360893064256} is an apocalyptic number.

54360893064256 is the 7372984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54360893064256

54360893064256 is an abundant number, since it is smaller than the sum of its proper divisors (55861115623493).

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

54360893064256 is an frugal number, since it uses more digits than its factorization.

54360893064256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39324 (or 19658 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 61.

The spelling of 54360893064256 in words is "fifty-four trillion, three hundred sixty billion, eight hundred ninety-three million, sixty-four thousand, two hundred fifty-six".