80817577571808 has 864 divisors, whose sum is σ = 295995914323200. Its totient is φ = 20679386112000.

The previous prime is 80817577571807. The next prime is 80817577571831.

80817577571808 is nontrivially palindromic in base 10.

80817577571808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80817577571807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19959883768 + ... + 19959887816.

It is an arithmetic number, because the mean of its divisors is an integer number (342587863800).

Almost surely, 2^{80817577571808} is an apocalyptic number.

80817577571808 is a gapful number since it is divisible by the number (88) 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 80817577571808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147997957161600).

80817577571808 is an abundant number, since it is smaller than the sum of its proper divisors (215178336751392).

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

80817577571808 is a wasteful number, since it uses less digits than its factorization.

80817577571808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 245862400, while the sum is 72.

The spelling of 80817577571808 in words is "eighty trillion, eight hundred seventeen billion, five hundred seventy-seven million, five hundred seventy-one thousand, eight hundred eight".