556545600 has 336 divisors, whose sum is σ = 2187082240. Its totient is φ = 136857600.

The previous prime is 556545593. The next prime is 556545611. The reversal of 556545600 is 6545655.

It is a happy number.

556545600 is a `hidden beast` number, since 5 + 5 + 6 + 5 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561105 + ... + 562095.

Almost surely, 2^556545600 is an apocalyptic number.

556545600 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 556545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093541120).

556545600 is an abundant number, since it is smaller than the sum of its proper divisors (1630536640).

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

556545600 is a wasteful number, since it uses less digits than its factorization.

556545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 556545600 is about 23591.2187052725. The cubic root of 556545600 is about 822.5587335608.

Subtracting from 556545600 its reverse (6545655), we obtain a palindrome (549999945).

The spelling of 556545600 in words is "five hundred fifty-six million, five hundred forty-five thousand, six hundred".