54811200 has 168 divisors, whose sum is σ = 189605920. Its totient is φ = 13824000.

The previous prime is 54811199. The next prime is 54811223. The reversal of 54811200 is 211845.

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, 90900 + ... + 91500.

Almost surely, 2^54811200 is an apocalyptic number.

54811200 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 54811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94802960).

54811200 is an abundant number, since it is smaller than the sum of its proper divisors (134794720).

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

54811200 is a wasteful number, since it uses less digits than its factorization.

54811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 54811200 is about 7403.4586511981. The cubic root of 54811200 is about 379.8595972531.

The spelling of 54811200 in words is "fifty-four million, eight hundred eleven thousand, two hundred".