6220517771200 has 252 divisors, whose sum is σ = 16552606737240. Its totient is φ = 2297945323520.

The previous prime is 6220517771191. The next prime is 6220517771201. The reversal of 6220517771200 is 21777150226.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6220517771201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24418887 + ... + 24672313.

It is an arithmetic number, because the mean of its divisors is an integer number (65684947370).

Almost surely, 2^{6220517771200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6220517771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8276303368620).

6220517771200 is an abundant number, since it is smaller than the sum of its proper divisors (10332088966040).

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

6220517771200 is a wasteful number, since it uses less digits than its factorization.

6220517771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253524 (or 253486 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The spelling of 6220517771200 in words is "six trillion, two hundred twenty billion, five hundred seventeen million, seven hundred seventy-one thousand, two hundred".