54038275200 has 1920 divisors, whose sum is σ = 257108544000. Its totient is φ = 10868981760.

The previous prime is 54038275169. The next prime is 54038275223. The reversal of 54038275200 is 257283045.

54038275200 is a `hidden beast` number, since 5 + 4 + 0 + 382 + 75 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 684028761 + ... + 684028839.

It is an arithmetic number, because the mean of its divisors is an integer number (133910700).

Almost surely, 2^54038275200 is an apocalyptic number.

54038275200 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 54038275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128554272000).

54038275200 is an abundant number, since it is smaller than the sum of its proper divisors (203070268800).

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

54038275200 is a wasteful number, since it uses less digits than its factorization.

54038275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 54038275200 in words is "fifty-four billion, thirty-eight million, two hundred seventy-five thousand, two hundred".