80688027359520 has 1920 divisors, whose sum is σ = 363416789514240. Its totient is φ = 16412998533120.

The previous prime is 80688027359449. The next prime is 80688027359531. The reversal of 80688027359520 is 2595372088608.

80688027359520 is a `hidden beast` number, since 8 + 0 + 6 + 8 + 80 + 27 + 3 + 5 + 9 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 17200600375 + ... + 17200605065.

It is an arithmetic number, because the mean of its divisors is an integer number (189279577872).

Almost surely, 2^{80688027359520} is an apocalyptic number.

80688027359520 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 80688027359520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181708394757120).

80688027359520 is an abundant number, since it is smaller than the sum of its proper divisors (282728762154720).

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

80688027359520 is a wasteful number, since it uses less digits than its factorization.

80688027359520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5348 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 80688027359520 in words is "eighty trillion, six hundred eighty-eight billion, twenty-seven million, three hundred fifty-nine thousand, five hundred twenty".