6050444422320 has 960 divisors, whose sum is σ = 22695247411200. Its totient is φ = 1493514547200.

The previous prime is 6050444422291. The next prime is 6050444422349. The reversal of 6050444422320 is 232244440506.

6050444422320 is a `hidden beast` number, since 60 + 504 + 4 + 44 + 22 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6050444422291) and next prime (6050444422349).

It is a super-3 number, since 3×6050444422320³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2947122414 + ... + 2947124466.

It is an arithmetic number, because the mean of its divisors is an integer number (23640882720).

Almost surely, 2^{6050444422320} is an apocalyptic number.

6050444422320 is a gapful number since it is divisible by the number (60) 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 6050444422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11347623705600).

6050444422320 is an abundant number, since it is smaller than the sum of its proper divisors (16644802988880).

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

6050444422320 is a wasteful number, since it uses less digits than its factorization.

6050444422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 6050444422320 its reverse (232244440506), we get a palindrome (6282688862826).

The spelling of 6050444422320 in words is "six trillion, fifty billion, four hundred forty-four million, four hundred twenty-two thousand, three hundred twenty".