54024048000 has 384 divisors, whose sum is σ = 208945245600. Its totient is φ = 13297766400.

The previous prime is 54024047983. The next prime is 54024048007. The reversal of 54024048000 is 84042045.

54024048000 is a `hidden beast` number, since 540 + 2 + 40 + 4 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54024048007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1857571 + ... + 1886429.

Almost surely, 2^54024048000 is an apocalyptic number.

54024048000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54024048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104472622800).

54024048000 is an abundant number, since it is smaller than the sum of its proper divisors (154921197600).

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

54024048000 is a wasteful number, since it uses less digits than its factorization.

54024048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28907 (or 28882 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 54024048000 in words is "fifty-four billion, twenty-four million, forty-eight thousand".