6020615817216 has 1440 divisors, whose sum is σ = 24286548686400. Its totient is φ = 1442986721280.

The previous prime is 6020615817211. The next prime is 6020615817239. The reversal of 6020615817216 is 6127185160206.

6020615817216 is a `hidden beast` number, since 6 + 0 + 2 + 0 + 61 + 581 + 7 + 2 + 1 + 6 = 666.

It is a super-2 number, since 2×6020615817216² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6020615817211) 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 119 ways as a sum of consecutive naturals, for example, 2158699150 + ... + 2158701938.

It is an arithmetic number, because the mean of its divisors is an integer number (16865658810).

Almost surely, 2^{6020615817216} is an apocalyptic number.

6020615817216 is a gapful number since it is divisible by the number (66) 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 6020615817216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12143274343200).

6020615817216 is an abundant number, since it is smaller than the sum of its proper divisors (18265932869184).

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

6020615817216 is a wasteful number, since it uses less digits than its factorization.

6020615817216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 6020615817216 in words is "six trillion, twenty billion, six hundred fifteen million, eight hundred seventeen thousand, two hundred sixteen".