8085096000 has 336 divisors, whose sum is σ = 30000122880. Its totient is φ = 2155507200.

The previous prime is 8085095951. The next prime is 8085096013. The reversal of 8085096000 is 6905808.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1941921 + ... + 1946079.

It is an arithmetic number, because the mean of its divisors is an integer number (89286080).

Almost surely, 2^8085096000 is an apocalyptic number.

8085096000 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 8085096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000061440).

8085096000 is an abundant number, since it is smaller than the sum of its proper divisors (21915026880).

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

8085096000 is an equidigital number, since it uses as much as digits as its factorization.

8085096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8085096000 is about 89917.1618769187. The cubic root of 8085096000 is about 2007.0663373677.

The spelling of 8085096000 in words is "eight billion, eighty-five million, ninety-six thousand".