80124618800880 has 720 divisors, whose sum is σ = 288063167464800. Its totient is φ = 19954147000320.

The previous prime is 80124618800869. The next prime is 80124618800887. The reversal of 80124618800880 is 8800881642108.

80124618800880 is a `hidden beast` number, since 8 + 0 + 12 + 4 + 618 + 8 + 0 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×80124618800880³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80124618800887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19405330656 + ... + 19405334784.

It is an arithmetic number, because the mean of its divisors is an integer number (400087732590).

Almost surely, 2^{80124618800880} is an apocalyptic number.

80124618800880 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 80124618800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144031583732400).

80124618800880 is an abundant number, since it is smaller than the sum of its proper divisors (207938548663920).

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

80124618800880 is a wasteful number, since it uses less digits than its factorization.

80124618800880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 80124618800880 in words is "eighty trillion, one hundred twenty-four billion, six hundred eighteen million, eight hundred thousand, eight hundred eighty".