54281304000 has 672 divisors, whose sum is σ = 242110881792. Its totient is φ = 11278080000.

The previous prime is 54281303983. The next prime is 54281304013. The reversal of 54281304000 is 40318245.

54281304000 is a `hidden beast` number, since 542 + 81 + 3 + 0 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 5539105 + ... + 5548895.

Almost surely, 2^54281304000 is an apocalyptic number.

54281304000 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 54281304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121055440896).

54281304000 is an abundant number, since it is smaller than the sum of its proper divisors (187829577792).

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

54281304000 is a wasteful number, since it uses less digits than its factorization.

54281304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9842 (or 9819 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

It can be divided in two parts, 54281 and 304000, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 54281304000 in words is "fifty-four billion, two hundred eighty-one million, three hundred four thousand".