80688116080 has 480 divisors, whose sum is σ = 235009958400. Its totient is φ = 25391646720.

The previous prime is 80688116029. The next prime is 80688116081. The reversal of 80688116080 is 8061188608.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 80688116080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80688116081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 405467821 + ... + 405468019.

It is an arithmetic number, because the mean of its divisors is an integer number (489604080).

Almost surely, 2^80688116080 is an apocalyptic number.

80688116080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80688116080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117504979200).

80688116080 is an abundant number, since it is smaller than the sum of its proper divisors (154321842320).

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

80688116080 is a wasteful number, since it uses less digits than its factorization.

80688116080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 46.

The spelling of 80688116080 in words is "eighty billion, six hundred eighty-eight million, one hundred sixteen thousand, eighty".