556007047200 has 2304 divisors, whose sum is σ = 2483841024000. Its totient is φ = 118444032000.

The previous prime is 556007047199. The next prime is 556007047207. The reversal of 556007047200 is 2740700655.

556007047200 is a `hidden beast` number, since 5 + 5 + 600 + 7 + 0 + 47 + 2 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (556007047207) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4058445532 + ... + 4058445668.

It is an arithmetic number, because the mean of its divisors is an integer number (1078056000).

Almost surely, 2^556007047200 is an apocalyptic number.

556007047200 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 556007047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241920512000).

556007047200 is an abundant number, since it is smaller than the sum of its proper divisors (1927833976800).

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

556007047200 is a wasteful number, since it uses less digits than its factorization.

556007047200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Adding to 556007047200 its reverse (2740700655), we get a palindrome (558747747855).

The spelling of 556007047200 in words is "five hundred fifty-six billion, seven million, forty-seven thousand, two hundred".