82821300000 has 288 divisors, whose sum is σ = 272851286400. Its totient is φ = 21995520000.

The previous prime is 82821299933. The next prime is 82821300007. The reversal of 82821300000 is 312828.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82821300007) 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, 107699616 + ... + 107700384.

It is an arithmetic number, because the mean of its divisors is an integer number (947400300).

Almost surely, 2^82821300000 is an apocalyptic number.

82821300000 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 82821300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136425643200).

82821300000 is an abundant number, since it is smaller than the sum of its proper divisors (190029986400).

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

82821300000 is an equidigital number, since it uses as much as digits as its factorization.

82821300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 82821300000 its reverse (312828), we get a palindrome (82821612828).

The spelling of 82821300000 in words is "eighty-two billion, eight hundred twenty-one million, three hundred thousand".