8005536000 has 1296 divisors, whose sum is σ = 37904001408. Its totient is φ = 1575936000.

The previous prime is 8005535987. The next prime is 8005536017. The reversal of 8005536000 is 6355008.

8005536000 is a `hidden beast` number, since 8 + 0 + 0 + 5 + 53 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 421343991 + ... + 421344009.

Almost surely, 2^8005536000 is an apocalyptic number.

8005536000 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 8005536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18952000704).

8005536000 is an abundant number, since it is smaller than the sum of its proper divisors (29898465408).

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

8005536000 is a wasteful number, since it uses less digits than its factorization.

8005536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 8005536000 is about 89473.6609287895. The cubic root of 8005536000 is about 2000.4612269600.

The spelling of 8005536000 in words is "eight billion, five million, five hundred thirty-six thousand".