82219004000 has 384 divisors, whose sum is σ = 257345786880. Its totient is φ = 25132032000.

The previous prime is 82219003963. The next prime is 82219004081. The reversal of 82219004000 is 40091228.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9039455 + ... + 9048545.

It is an arithmetic number, because the mean of its divisors is an integer number (670171320).

Almost surely, 2^82219004000 is an apocalyptic number.

82219004000 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 82219004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128672893440).

82219004000 is an abundant number, since it is smaller than the sum of its proper divisors (175126782880).

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

82219004000 is a wasteful number, since it uses less digits than its factorization.

82219004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9159 (or 9141 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 82219004000 its reverse (40091228), we get a palindrome (82259095228).

The spelling of 82219004000 in words is "eighty-two billion, two hundred nineteen million, four thousand".