8281200000 has 384 divisors, whose sum is σ = 28175696640. Its totient is φ = 2154240000.

The previous prime is 8281199959. The next prime is 8281200001. The reversal of 8281200000 is 21828.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 8281200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8281200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80399949 + ... + 80400051.

It is an arithmetic number, because the mean of its divisors is an integer number (73374210).

Almost surely, 2^8281200000 is an apocalyptic number.

8281200000 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 8281200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14087848320).

8281200000 is an abundant number, since it is smaller than the sum of its proper divisors (19894496640).

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

8281200000 is an equidigital number, since it uses as much as digits as its factorization.

8281200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8281200000 is about 91001.0988944639. The cubic root of 8281200000 is about 2023.1640118486.

Adding to 8281200000 its reverse (21828), we get a palindrome (8281221828).

The spelling of 8281200000 in words is "eight billion, two hundred eighty-one million, two hundred thousand".