6022050501600 has 1728 divisors, whose sum is σ = 27923772764160. Its totient is φ = 1187625369600.

The previous prime is 6022050501553. The next prime is 6022050501601. The reversal of 6022050501600 is 61050502206.

6022050501600 is a `hidden beast` number, since 6 + 0 + 2 + 2 + 0 + 5 + 0 + 50 + 1 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6022050501601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 504649234 + ... + 504661166.

It is an arithmetic number, because the mean of its divisors is an integer number (16159590720).

Almost surely, 2^{6022050501600} is an apocalyptic number.

6022050501600 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 6022050501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13961886382080).

6022050501600 is an abundant number, since it is smaller than the sum of its proper divisors (21901722262560).

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

6022050501600 is a wasteful number, since it uses less digits than its factorization.

6022050501600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12033 (or 12017 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 6022050501600 in words is "six trillion, twenty-two billion, fifty million, five hundred one thousand, six hundred".