7971891121152 has 264 divisors, whose sum is σ = 26345261276672. Its totient is φ = 2274374246400.

The previous prime is 7971891121121. The next prime is 7971891121189. The reversal of 7971891121152 is 2511211981797.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44488377 + ... + 44667207.

Almost surely, 2^{7971891121152} is an apocalyptic number.

7971891121152 is a gapful number since it is divisible by the number (72) 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 7971891121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172630638336).

7971891121152 is an abundant number, since it is smaller than the sum of its proper divisors (18373370155520).

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

7971891121152 is a wasteful number, since it uses less digits than its factorization.

7971891121152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179555 (or 179534 counting only the distinct ones).

The product of its digits is 635040, while the sum is 54.

The spelling of 7971891121152 in words is "seven trillion, nine hundred seventy-one billion, eight hundred ninety-one million, one hundred twenty-one thousand, one hundred fifty-two".