82219399080 has 1152 divisors, whose sum is σ = 341749601280. Its totient is φ = 15699640320.

The previous prime is 82219399069. The next prime is 82219399081. The reversal of 82219399080 is 8099391228.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (82219399081) 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 287 ways as a sum of consecutive naturals, for example, 523690362 + ... + 523690518.

It is an arithmetic number, because the mean of its divisors is an integer number (296657640).

Almost surely, 2^82219399080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82219399080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170874800640).

82219399080 is an abundant number, since it is smaller than the sum of its proper divisors (259530202200).

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

82219399080 is a wasteful number, since it uses less digits than its factorization.

82219399080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 82219399080 in words is "eighty-two billion, two hundred nineteen million, three hundred ninety-nine thousand, eighty".