80522828102304 has 288 divisors, whose sum is σ = 273608496483840. Its totient is φ = 22972329160704.

The previous prime is 80522828102287. The next prime is 80522828102309. The reversal of 80522828102304 is 40320182822508.

80522828102304 is a `hidden beast` number, since 8 + 0 + 52 + 282 + 8 + 10 + 2 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 80522828102304.

It is not an unprimeable number, because it can be changed into a prime (80522828102309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27079057 + ... + 29905199.

It is an arithmetic number, because the mean of its divisors is an integer number (950029501680).

Almost surely, 2^{80522828102304} is an apocalyptic number.

80522828102304 is a gapful number since it is divisible by the number (84) 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 80522828102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136804248241920).

80522828102304 is an abundant number, since it is smaller than the sum of its proper divisors (193085668381536).

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

80522828102304 is a wasteful number, since it uses less digits than its factorization.

80522828102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826849 (or 2826828 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 80522828102304 in words is "eighty trillion, five hundred twenty-two billion, eight hundred twenty-eight million, one hundred two thousand, three hundred four".