556449504000 has 1152 divisors, whose sum is σ = 2165622251520. Its totient is φ = 125411328000.

The previous prime is 556449503963. The next prime is 556449504001. The reversal of 556449504000 is 405944655.

It is not an unprimeable number, because it can be changed into a prime (556449504001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 735071622 + ... + 735072378.

Almost surely, 2^556449504000 is an apocalyptic number.

556449504000 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 556449504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082811125760).

556449504000 is an abundant number, since it is smaller than the sum of its proper divisors (1609172747520).

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

556449504000 is a wasteful number, since it uses less digits than its factorization.

556449504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 556449504000 in words is "five hundred fifty-six billion, four hundred forty-nine million, five hundred four thousand".