8005175268480 has 384 divisors, whose sum is σ = 30495336384240. Its totient is φ = 1922442854400.

The previous prime is 8005175268473. The next prime is 8005175268499. The reversal of 8005175268480 is 848625715008.

8005175268480 is a `hidden beast` number, since 8 + 0 + 0 + 51 + 7 + 52 + 68 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 436646067264 + 7568529201216 = 660792^2 + 2751096^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1766340 + ... + 4373820.

Almost surely, 2^{8005175268480} is an apocalyptic number.

8005175268480 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 8005175268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15247668192120).

8005175268480 is an abundant number, since it is smaller than the sum of its proper divisors (22490161115760).

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

8005175268480 is a wasteful number, since it uses less digits than its factorization.

8005175268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607560 (or 2607545 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 8005175268480 in words is "eight trillion, five billion, one hundred seventy-five million, two hundred sixty-eight thousand, four hundred eighty".