6221120156160 has 3840 divisors, whose sum is σ = 28890310901760. Its totient is φ = 1123685498880.

The previous prime is 6221120156117. The next prime is 6221120156227. The reversal of 6221120156160 is 616510211226.

It is a tau number, because it is divible by the number of its divisors (3840).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 48985198017 + ... + 48985198143.

It is an arithmetic number, because the mean of its divisors is an integer number (7523518464).

Almost surely, 2^{6221120156160} is an apocalyptic number.

6221120156160 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 6221120156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445155450880).

6221120156160 is an abundant number, since it is smaller than the sum of its proper divisors (22669190745600).

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

6221120156160 is a wasteful number, since it uses less digits than its factorization.

6221120156160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

Adding to 6221120156160 its reverse (616510211226), we get a palindrome (6837630367386).

The spelling of 6221120156160 in words is "six trillion, two hundred twenty-one billion, one hundred twenty million, one hundred fifty-six thousand, one hundred sixty".