82905120000 has 450 divisors, whose sum is σ = 308959490378. Its totient is φ = 22104576000.

The previous prime is 82905119953. The next prime is 82905120007. The reversal of 82905120000 is 2150928.

It can be written as a sum of positive squares in 5 ways, for example, as 60563241216 + 22341878784 = 246096^2 + 149472^2 .

It is a tau number, because it is divible by the number of its divisors (450).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82905120007) by changing a digit.

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 49 ways as a sum of consecutive naturals, for example, 12956802 + ... + 12963198.

Almost surely, 2^82905120000 is an apocalyptic number.

82905120000 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 82905120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154479745189).

82905120000 is an abundant number, since it is smaller than the sum of its proper divisors (226054370378).

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

82905120000 is an frugal number, since it uses more digits than its factorization.

82905120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 82905120000 its reverse (2150928), we get a palindrome (82907270928).

The spelling of 82905120000 in words is "eighty-two billion, nine hundred five million, one hundred twenty thousand".