550616348800 has 192 divisors, whose sum is σ = 1574190316800. Its totient is φ = 186392494080.

The previous prime is 550616348797. The next prime is 550616348833. The reversal of 550616348800 is 8843616055.

It is a super-2 number, since 2×550616348800² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1614024 + ... + 1925176.

It is an arithmetic number, because the mean of its divisors is an integer number (8198907900).

Almost surely, 2^550616348800 is an apocalyptic number.

550616348800 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 550616348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787095158400).

550616348800 is an abundant number, since it is smaller than the sum of its proper divisors (1023573968000).

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

550616348800 is a wasteful number, since it uses less digits than its factorization.

550616348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311263 (or 311246 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 550616348800 in words is "five hundred fifty billion, six hundred sixteen million, three hundred forty-eight thousand, eight hundred".