54388263283200 has 5760 divisors, whose sum is σ = 270989969817600. Its totient is φ = 10622339481600.

The previous prime is 54388263283127. The next prime is 54388263283213. The reversal of 54388263283200 is 238236288345.

54388263283200 is a `hidden beast` number, since 5 + 4 + 3 + 88 + 263 + 283 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 575 ways as a sum of consecutive naturals, for example, 428254041537 + ... + 428254041663.

It is an arithmetic number, because the mean of its divisors is an integer number (47046869760).

Almost surely, 2^{54388263283200} is an apocalyptic number.

54388263283200 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 54388263283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135494984908800).

54388263283200 is an abundant number, since it is smaller than the sum of its proper divisors (216601706534400).

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

54388263283200 is a wasteful number, since it uses less digits than its factorization.

54388263283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 54388263283200 in words is "fifty-four trillion, three hundred eighty-eight billion, two hundred sixty-three million, two hundred eighty-three thousand, two hundred".