8052981993216 has 216 divisors, whose sum is σ = 23877612486000. Its totient is φ = 2609176559616.

The previous prime is 8052981993211. The next prime is 8052981993247. The reversal of 8052981993216 is 6123991892508.

8052981993216 is a `hidden beast` number, since 8 + 0 + 5 + 298 + 19 + 9 + 321 + 6 = 666.

It is a super-2 number, since 2×8052981993216² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8052981993211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11765490 + ... + 12431118.

It is an arithmetic number, because the mean of its divisors is an integer number (110544502250).

Almost surely, 2^{8052981993216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8052981993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11938806243000).

8052981993216 is an abundant number, since it is smaller than the sum of its proper divisors (15824630492784).

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

8052981993216 is a wasteful number, since it uses less digits than its factorization.

8052981993216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665799 (or 665782 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 8052981993216 in words is "eight trillion, fifty-two billion, nine hundred eighty-one million, nine hundred ninety-three thousand, two hundred sixteen".