8021216160 has 288 divisors, whose sum is σ = 28525573440. Its totient is φ = 2131432704.

The previous prime is 8021216123. The next prime is 8021216171. The reversal of 8021216160 is 616121208.

8021216160 is a `hidden beast` number, since 8 + 0 + 21 + 21 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 28343379 + ... + 28343661.

It is an arithmetic number, because the mean of its divisors is an integer number (99047130).

Almost surely, 2^8021216160 is an apocalyptic number.

8021216160 is a gapful number since it is divisible by the number (80) 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 8021216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14262786720).

8021216160 is an abundant number, since it is smaller than the sum of its proper divisors (20504357280).

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

8021216160 is an frugal number, since it uses more digits than its factorization.

8021216160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8021216160 is about 89561.2425103627. The cubic root of 8021216160 is about 2001.7664526964.

Adding to 8021216160 its reverse (616121208), we get a palindrome (8637337368).

The spelling of 8021216160 in words is "eight billion, twenty-one million, two hundred sixteen thousand, one hundred sixty".