6050116800 has 1344 divisors, whose sum is σ = 28925926400. Its totient is φ = 1209323520.

The previous prime is 6050116747. The next prime is 6050116837. The reversal of 6050116800 is 86110506.

6050116800 = 255³ + 256³ + ... + 410³.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 318427191 + ... + 318427209.

Almost surely, 2^6050116800 is an apocalyptic number.

6050116800 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 6050116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14462963200).

6050116800 is an abundant number, since it is smaller than the sum of its proper divisors (22875809600).

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

6050116800 is a wasteful number, since it uses less digits than its factorization.

6050116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 6050116800 is about 77782.4967457332. The cubic root of 6050116800 is about 1822.1659195594.

The spelling of 6050116800 in words is "six billion, fifty million, one hundred sixteen thousand, eight hundred".