54804659684688 has 200 divisors, whose sum is σ = 168487814435688. Its totient is φ = 17138684878848.

The previous prime is 54804659684641. The next prime is 54804659684729. The reversal of 54804659684688 is 88648695640845.

54804659684688 is a `hidden beast` number, since 5 + 4 + 8 + 0 + 4 + 65 + 96 + 8 + 468 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1240880146704 + 53563779537984 = 1113948^2 + 7318728^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2922370 + ... + 10869662.

Almost surely, 2^{54804659684688} 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 54804659684688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84243907217844).

54804659684688 is an abundant number, since it is smaller than the sum of its proper divisors (113683154751000).

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

54804659684688 is a wasteful number, since it uses less digits than its factorization.

54804659684688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7947643 (or 7947628 counting only the distinct ones).

The product of its (nonzero) digits is 12740198400, while the sum is 81.

The spelling of 54804659684688 in words is "fifty-four trillion, eight hundred four billion, six hundred fifty-nine million, six hundred eighty-four thousand, six hundred eighty-eight".