82408219560 has 256 divisors, whose sum is σ = 279208512000. Its totient is φ = 21616035840.

The previous prime is 82408219477. The next prime is 82408219601. The reversal of 82408219560 is 6591280428.

82408219560 is a `hidden beast` number, since 8 + 2 + 4 + 0 + 82 + 1 + 9 + 560 = 666.

It is a super-2 number, since 2×82408219560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34609570 + ... + 34611950.

It is an arithmetic number, because the mean of its divisors is an integer number (1090658250).

Almost surely, 2^82408219560 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 82408219560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139604256000).

82408219560 is an abundant number, since it is smaller than the sum of its proper divisors (196800292440).

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

82408219560 is a wasteful number, since it uses less digits than its factorization.

82408219560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

Adding to 82408219560 its reverse (6591280428), we get a palindrome (88999499988).

The spelling of 82408219560 in words is "eighty-two billion, four hundred eight million, two hundred nineteen thousand, five hundred sixty".