54438092800 has 672 divisors, whose sum is σ = 174740815872. Its totient is φ = 16349921280.

The previous prime is 54438092791. The next prime is 54438092803. The reversal of 54438092800 is 829083445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54438092803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428646337 + ... + 428646463.

It is an arithmetic number, because the mean of its divisors is an integer number (260030976).

Almost surely, 2^54438092800 is an apocalyptic number.

54438092800 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 54438092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87370407936).

54438092800 is an abundant number, since it is smaller than the sum of its proper divisors (120302723072).

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

54438092800 is a wasteful number, since it uses less digits than its factorization.

54438092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 54438092800 in words is "fifty-four billion, four hundred thirty-eight million, ninety-two thousand, eight hundred".