55583200 has 144 divisors (see below), whose sum is σ = 148209264. Its totient is φ = 20275200.

The previous prime is 55583179. The next prime is 55583239. The reversal of 55583200 is 238555.

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, 829567 + ... + 829633.

It is an arithmetic number, because the mean of its divisors is an integer number (1029231).

Almost surely, 2^55583200 is an apocalyptic number.

55583200 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 55583200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74104632).

55583200 is an abundant number, since it is smaller than the sum of its proper divisors (92626064).

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

55583200 is a wasteful number, since it uses less digits than its factorization.

55583200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 55583200 is about 7455.4141400730. The cubic root of 55583200 is about 381.6346936682.

The spelling of 55583200 in words is "fifty-five million, five hundred eighty-three thousand, two hundred".