55005200 has 60 divisors (see below), whose sum is σ = 139940820. Its totient is φ = 20705280.

The previous prime is 55005187. The next prime is 55005211. The reversal of 55005200 is 250055.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5837056 + 49168144 = 2416^2 + 7012^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2756 + ... + 10844.

It is an arithmetic number, because the mean of its divisors is an integer number (2332347).

Almost surely, 2^55005200 is an apocalyptic number.

55005200 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 55005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69970410).

55005200 is an abundant number, since it is smaller than the sum of its proper divisors (84935620).

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

55005200 is a wasteful number, since it uses less digits than its factorization.

55005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 17.

The square root of 55005200 is about 7416.5490627380. The cubic root of 55005200 is about 380.3072307607.

Adding to 55005200 its reverse (250055), we get a palindrome (55255255).

The spelling of 55005200 in words is "fifty-five million, five thousand, two hundred".