80845129728 has 576 divisors, whose sum is σ = 270313243200. Its totient is φ = 23843635200.

The previous prime is 80845129711. The next prime is 80845129823. The reversal of 80845129728 is 82792154808.

80845129728 is a `hidden beast` number, since 80 + 8 + 451 + 2 + 97 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287704948 + ... + 287705228.

It is an arithmetic number, because the mean of its divisors is an integer number (469293825).

Almost surely, 2^80845129728 is an apocalyptic number.

80845129728 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 80845129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135156621600).

80845129728 is an abundant number, since it is smaller than the sum of its proper divisors (189468113472).

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

80845129728 is a wasteful number, since it uses less digits than its factorization.

80845129728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 80845129728 in words is "eighty billion, eight hundred forty-five million, one hundred twenty-nine thousand, seven hundred twenty-eight".