553561600 has 120 divisors (see below), whose sum is σ = 1396640520. Its totient is φ = 217374720.

The previous prime is 553561559. The next prime is 553561607. The reversal of 553561600 is 6165355.

553561600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553561607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 754834 + ... + 755566.

It is an arithmetic number, because the mean of its divisors is an integer number (11638671).

Almost surely, 2^553561600 is an apocalyptic number.

553561600 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 553561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698320260).

553561600 is an abundant number, since it is smaller than the sum of its proper divisors (843078920).

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

553561600 is an equidigital number, since it uses as much as digits as its factorization.

553561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 553561600 is about 23527.8898331321. The cubic root of 553561600 is about 821.0860090010.

The spelling of 553561600 in words is "five hundred fifty-three million, five hundred sixty-one thousand, six hundred".