8010821697312 has 144 divisors (see below), whose sum is σ = 24756335728992. Its totient is φ = 2261230110720.

The previous prime is 8010821697293. The next prime is 8010821697317. The reversal of 8010821697312 is 2137961280108.

It is a super-3 number, since 3×8010821697312³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8010821697317) 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, 9868489 + ... + 10649352.

It is an arithmetic number, because the mean of its divisors is an integer number (171918998118).

Almost surely, 2^{8010821697312} is an apocalyptic number.

It is an amenable number.

8010821697312 is an abundant number, since it is smaller than the sum of its proper divisors (16745514031680).

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

8010821697312 is a wasteful number, since it uses less digits than its factorization.

8010821697312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20517951 (or 20517936 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 8010821697312 in words is "eight trillion, ten billion, eight hundred twenty-one million, six hundred ninety-seven thousand, three hundred twelve".