8005452428160 has 256 divisors, whose sum is σ = 30930157843200. Its totient is φ = 1940715694080.

The previous prime is 8005452428147. The next prime is 8005452428209. The reversal of 8005452428160 is 618242545008.

8005452428160 is a `hidden beast` number, since 8 + 0 + 0 + 545 + 2 + 42 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20868034 + ... + 21248193.

It is an arithmetic number, because the mean of its divisors is an integer number (120820929075).

Almost surely, 2^{8005452428160} is an apocalyptic number.

8005452428160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8005452428160 is an abundant number, since it is smaller than the sum of its proper divisors (22924705415040).

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

8005452428160 is a wasteful number, since it uses less digits than its factorization.

8005452428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42116266 (or 42116248 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 8005452428160 in words is "eight trillion, five billion, four hundred fifty-two million, four hundred twenty-eight thousand, one hundred sixty".