8216000000 has 280 divisors, whose sum is σ = 22377838560. Its totient is φ = 2995200000.

The previous prime is 8215999997. The next prime is 8216000003. The reversal of 8216000000 is 6128.

It is an interprime number because it is at equal distance from previous prime (8215999997) and next prime (8216000003).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 8216000000 = 600³ + 2000³ = 1550³ + 1650³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8216000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 103999961 + ... + 104000039.

It is an arithmetic number, because the mean of its divisors is an integer number (79920852).

Almost surely, 2^8216000000 is an apocalyptic number.

8216000000 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 8216000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11188919280).

8216000000 is an abundant number, since it is smaller than the sum of its proper divisors (14161838560).

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

8216000000 is an frugal number, since it uses more digits than its factorization.

8216000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 8216000000 is about 90642.1535489973. The cubic root of 8216000000 is about 2017.8403871083.

Adding to 8216000000 its reverse (6128), we get a palindrome (8216006128).

It can be divided in two parts, 8 and 216000000, that multiplied together give a cube (1728000000 = 1200³).

The spelling of 8216000000 in words is "eight billion, two hundred sixteen million", and thus it is an aban number.