8235216000 has 512 divisors, whose sum is σ = 33109689600. Its totient is φ = 1995264000.

The previous prime is 8235215983. The next prime is 8235216071. The reversal of 8235216000 is 6125328.

8235216000 is a `hidden beast` number, since 8 + 2 + 3 + 52 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4751134 + ... + 4752866.

Almost surely, 2^8235216000 is an apocalyptic number.

8235216000 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 8235216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16554844800).

8235216000 is an abundant number, since it is smaller than the sum of its proper divisors (24874473600).

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

8235216000 is a wasteful number, since it uses less digits than its factorization.

8235216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8235216000 is about 90748.0908890099. The cubic root of 8235216000 is about 2019.4123049347.

The spelling of 8235216000 in words is "eight billion, two hundred thirty-five million, two hundred sixteen thousand".