54381936000 has 1024 divisors, whose sum is σ = 222900387840. Its totient is φ = 11455488000.

The previous prime is 54381935947. The next prime is 54381936001. The reversal of 54381936000 is 63918345.

It is a self number, because there is not a number n which added to its sum of digits gives 54381936000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54381936001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 239567887 + ... + 239568113.

It is an arithmetic number, because the mean of its divisors is an integer number (217676160).

Almost surely, 2^54381936000 is an apocalyptic number.

54381936000 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 54381936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111450193920).

54381936000 is an abundant number, since it is smaller than the sum of its proper divisors (168518451840).

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

54381936000 is a wasteful number, since it uses less digits than its factorization.

54381936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 54381936000 in words is "fifty-four billion, three hundred eighty-one million, nine hundred thirty-six thousand".