550243416988800 has 2688 divisors, whose sum is σ = 2254766212869120. Its totient is φ = 132138749952000.

The previous prime is 550243416988781. The next prime is 550243416988817. The reversal of 550243416988800 is 8889614342055.

550243416988800 is a `hidden beast` number, since 5 + 50 + 2 + 4 + 3 + 416 + 98 + 8 + 80 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 61541592330 + ... + 61541601270.

Almost surely, 2^{550243416988800} is an apocalyptic number.

550243416988800 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 550243416988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127383106434560).

550243416988800 is an abundant number, since it is smaller than the sum of its proper divisors (1704522795880320).

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

550243416988800 is a wasteful number, since it uses less digits than its factorization.

550243416988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9074 (or 9042 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 550243416988800 in words is "five hundred fifty trillion, two hundred forty-three billion, four hundred sixteen million, nine hundred eighty-eight thousand, eight hundred".