556343424000 has 2816 divisors, whose sum is σ = 2660929689600. Its totient is φ = 111476736000.

The previous prime is 556343423989. The next prime is 556343424019. The reversal of 556343424000 is 424343655.

556343424000 is a `hidden beast` number, since 556 + 34 + 34 + 2 + 40 + 0 + 0 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 9120383970 + ... + 9120384030.

Almost surely, 2^556343424000 is an apocalyptic number.

556343424000 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 556343424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330464844800).

556343424000 is an abundant number, since it is smaller than the sum of its proper divisors (2104586265600).

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

556343424000 is a wasteful number, since it uses less digits than its factorization.

556343424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 556343424000 its reverse (424343655), we get a palindrome (556767767655).

The spelling of 556343424000 in words is "five hundred fifty-six billion, three hundred forty-three million, four hundred twenty-four thousand".