54553200 has 180 divisors, whose sum is σ = 189932040. Its totient is φ = 13378560.

The previous prime is 54553193. The next prime is 54553241. The reversal of 54553200 is 235545.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 202666 + ... + 202934.

It is an arithmetic number, because the mean of its divisors is an integer number (1055178).

Almost surely, 2^54553200 is an apocalyptic number.

54553200 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 54553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94966020).

54553200 is an abundant number, since it is smaller than the sum of its proper divisors (135378840).

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

54553200 is a wasteful number, since it uses less digits than its factorization.

54553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 54553200 is about 7386.0138098977. The cubic root of 54553200 is about 379.2626514367.

Adding to 54553200 its reverse (235545), we get a palindrome (54788745).

The spelling of 54553200 in words is "fifty-four million, five hundred fifty-three thousand, two hundred".