556055600 has 120 divisors (see below), whose sum is σ = 1373922480. Its totient is φ = 216207360.

The previous prime is 556055597. The next prime is 556055609. The reversal of 556055600 is 6550655.

It is not an unprimeable number, because it can be changed into a prime (556055609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4000331 + ... + 4000469.

It is an arithmetic number, because the mean of its divisors is an integer number (11449354).

Almost surely, 2^556055600 is an apocalyptic number.

556055600 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 556055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686961240).

556055600 is an abundant number, since it is smaller than the sum of its proper divisors (817866880).

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

556055600 is a wasteful number, since it uses less digits than its factorization.

556055600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The square root of 556055600 is about 23580.8311982424. The cubic root of 556055600 is about 822.3172606103.

It can be divided in two parts, 556055 and 600, that added together give a palindrome (556655).

The spelling of 556055600 in words is "five hundred fifty-six million, fifty-five thousand, six hundred".