8005211211971 has 16 divisors (see below), whose sum is σ = 8488233815040. Its totient is φ = 7536309711840.

The previous prime is 8005211211937. The next prime is 8005211211979. The reversal of 8005211211971 is 1791121125008.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8005211211971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8005211211979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6134660 + ... + 7324238.

It is an arithmetic number, because the mean of its divisors is an integer number (530514613440).

Almost surely, 2^{8005211211971} is an apocalyptic number.

8005211211971 is a deficient number, since it is larger than the sum of its proper divisors (483022603069).

8005211211971 is a wasteful number, since it uses less digits than its factorization.

8005211211971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195514.

The product of its (nonzero) digits is 10080, while the sum is 38.

Adding to 8005211211971 its reverse (1791121125008), we get a palindrome (9796332336979).

The spelling of 8005211211971 in words is "eight trillion, five billion, two hundred eleven million, two hundred eleven thousand, nine hundred seventy-one".