80906856796416 has 432 divisors, whose sum is σ = 272175214940160. Its totient is φ = 21193155809280.

The previous prime is 80906856796411. The next prime is 80906856796427. The reversal of 80906856796416 is 61469765860908.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (80906856796411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20340165 + ... + 23990331.

Almost surely, 2^{80906856796416} 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 80906856796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136087607470080).

80906856796416 is an abundant number, since it is smaller than the sum of its proper divisors (191268358143744).

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

80906856796416 is a wasteful number, since it uses less digits than its factorization.

80906856796416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650250 (or 3650229 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 75.

The spelling of 80906856796416 in words is "eighty trillion, nine hundred six billion, eight hundred fifty-six million, seven hundred ninety-six thousand, four hundred sixteen".