54405014400 has 288 divisors, whose sum is σ = 211778934120. Its totient is φ = 13189017600.

The previous prime is 54405014393. The next prime is 54405014413. The reversal of 54405014400 is 441050445.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230934 + ... + 402666.

Almost surely, 2^54405014400 is an apocalyptic number.

54405014400 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 54405014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105889467060).

54405014400 is an abundant number, since it is smaller than the sum of its proper divisors (157373919720).

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

54405014400 is a wasteful number, since it uses less digits than its factorization.

54405014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171774 (or 171754 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 54405014400 its reverse (441050445), we get a palindrome (54846064845).

The spelling of 54405014400 in words is "fifty-four billion, four hundred five million, fourteen thousand, four hundred".