54325200 has 120 divisors (see below), whose sum is σ = 184327488. Its totient is φ = 13629440.

The previous prime is 54325189. The next prime is 54325223. The reversal of 54325200 is 252345.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19069 + ... + 21731.

Almost surely, 2^54325200 is an apocalyptic number.

54325200 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 54325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92163744).

54325200 is an abundant number, since it is smaller than the sum of its proper divisors (130002288).

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

54325200 is a wasteful number, since it uses less digits than its factorization.

54325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 54325200 is about 7370.5630721133. The cubic root of 54325200 is about 378.7335493732.

Adding to 54325200 its reverse (252345), we get a palindrome (54577545).

The spelling of 54325200 in words is "fifty-four million, three hundred twenty-five thousand, two hundred".