54338126304 has 288 divisors, whose sum is σ = 184969709568. Its totient is φ = 13657881600.

The previous prime is 54338126299. The next prime is 54338126327. The reversal of 54338126304 is 40362183345.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2509894 + ... + 2531450.

It is an arithmetic number, because the mean of its divisors is an integer number (642255936).

Almost surely, 2^54338126304 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 54338126304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92484854784).

54338126304 is an abundant number, since it is smaller than the sum of its proper divisors (130631583264).

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

54338126304 is a wasteful number, since it uses less digits than its factorization.

54338126304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21630 (or 21611 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 54338126304 in words is "fifty-four billion, three hundred thirty-eight million, one hundred twenty-six thousand, three hundred four".