8001516688896 has 640 divisors, whose sum is σ = 24589007917056. Its totient is φ = 2297553223680.

The previous prime is 8001516688861. The next prime is 8001516688927. The reversal of 8001516688896 is 6988866151008.

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 63 ways as a sum of consecutive naturals, for example, 1355497081 + ... + 1355502983.

Almost surely, 2^{8001516688896} 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 8001516688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294503958528).

8001516688896 is an abundant number, since it is smaller than the sum of its proper divisors (16587491228160).

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

8001516688896 is a wasteful number, since it uses less digits than its factorization.

8001516688896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6062 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 66.

The spelling of 8001516688896 in words is "eight trillion, one billion, five hundred sixteen million, six hundred eighty-eight thousand, eight hundred ninety-six".