556005600 has 144 divisors (see below), whose sum is σ = 2010965040. Its totient is φ = 148262400.

The previous prime is 556005559. The next prime is 556005613. The reversal of 556005600 is 6500655.

556005600 is a `hidden beast` number, since 5 + 5 + 600 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8730 + ... + 34470.

It is an arithmetic number, because the mean of its divisors is an integer number (13965035).

Almost surely, 2^556005600 is an apocalyptic number.

556005600 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 556005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005482520).

556005600 is an abundant number, since it is smaller than the sum of its proper divisors (1454959440).

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

556005600 is a wasteful number, since it uses less digits than its factorization.

556005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25770 (or 25751 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 556005600 is about 23579.7709912543. The cubic root of 556005600 is about 822.2926125382.

The spelling of 556005600 in words is "five hundred fifty-six million, five thousand, six hundred".