8026169905152 has 936 divisors, whose sum is σ = 28937786005440. Its totient is φ = 2096877404160.

The previous prime is 8026169905147. The next prime is 8026169905217. The reversal of 8026169905152 is 2515099616208.

8026169905152 is a `hidden beast` number, since 8 + 0 + 2 + 61 + 69 + 9 + 0 + 515 + 2 = 666.

It is a super-2 number, since 2×8026169905152² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2701503027 + ... + 2701505997.

It is an arithmetic number, because the mean of its divisors is an integer number (30916438040).

Almost surely, 2^{8026169905152} 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 8026169905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14468893002720).

8026169905152 is an abundant number, since it is smaller than the sum of its proper divisors (20911616100288).

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

8026169905152 is a wasteful number, since it uses less digits than its factorization.

8026169905152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 8026169905152 in words is "eight trillion, twenty-six billion, one hundred sixty-nine million, nine hundred five thousand, one hundred fifty-two".