80969000208768 has 1024 divisors, whose sum is σ = 280096094361600. Its totient is φ = 22833640488960.

The previous prime is 80969000208713. The next prime is 80969000208773. The reversal of 80969000208768 is 86780200096908.

It is a super-3 number, since 3×80969000208768³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52886348163 + ... + 52886349693.

It is an arithmetic number, because the mean of its divisors is an integer number (273531342150).

Almost surely, 2^{80969000208768} 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 80969000208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140048047180800).

80969000208768 is an abundant number, since it is smaller than the sum of its proper divisors (199127094152832).

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

80969000208768 is a wasteful number, since it uses less digits than its factorization.

80969000208768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 80969000208768 in words is "eighty trillion, nine hundred sixty-nine billion, two hundred eight thousand, seven hundred sixty-eight".