8002022863072 has 96 divisors (see below), whose sum is σ = 18221033073600. Its totient is φ = 3388263825408.

The previous prime is 8002022863061. The next prime is 8002022863099. The reversal of 8002022863072 is 2703682202008.

It is a super-2 number, since 2×8002022863072² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 25541808 + ... + 25853200.

It is an arithmetic number, because the mean of its divisors is an integer number (189802427850).

Almost surely, 2^{8002022863072} 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 8002022863072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9110516536800).

8002022863072 is an abundant number, since it is smaller than the sum of its proper divisors (10219010210528).

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

8002022863072 is a wasteful number, since it uses less digits than its factorization.

8002022863072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312788 (or 312780 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 8002022863072 in words is "eight trillion, two billion, twenty-two million, eight hundred sixty-three thousand, seventy-two".