8005088000 has 288 divisors, whose sum is σ = 24552528000. Its totient is φ = 2532556800.

The previous prime is 8005087967. The next prime is 8005088017. The reversal of 8005088000 is 8805008.

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, 2910626 + ... + 2913374.

Almost surely, 2^8005088000 is an apocalyptic number.

8005088000 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 8005088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276264000).

8005088000 is an abundant number, since it is smaller than the sum of its proper divisors (16547440000).

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

8005088000 is a wasteful number, since it uses less digits than its factorization.

8005088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 8005088000 is about 89471.1573637002. The cubic root of 8005088000 is about 2000.4239101437.

The spelling of 8005088000 in words is "eight billion, five million, eighty-eight thousand".