80007441328512 has 192 divisors, whose sum is σ = 231460703323200. Its totient is φ = 26526878687232.

The previous prime is 80007441328469. The next prime is 80007441328531. The reversal of 80007441328512 is 21582314470008.

80007441328512 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 74 + 41 + 3 + 28 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 190991673 + ... + 191410119.

It is an arithmetic number, because the mean of its divisors is an integer number (1205524496475).

Almost surely, 2^{80007441328512} 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 80007441328512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115730351661600).

80007441328512 is an abundant number, since it is smaller than the sum of its proper divisors (151453261994688).

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

80007441328512 is a wasteful number, since it uses less digits than its factorization.

80007441328512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419353 (or 419338 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 80007441328512 in words is "eighty trillion, seven billion, four hundred forty-one million, three hundred twenty-eight thousand, five hundred twelve".