82056422240 has 144 divisors (see below), whose sum is σ = 213055366608. Its totient is φ = 29844891648.

The previous prime is 82056422233. The next prime is 82056422243. The reversal of 82056422240 is 4222465028.

It is a self number, because there is not a number n which added to its sum of digits gives 82056422240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82056422243) 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 23 ways as a sum of consecutive naturals, for example, 1789034 + ... + 1834326.

It is an arithmetic number, because the mean of its divisors is an integer number (1479551157).

Almost surely, 2^82056422240 is an apocalyptic number.

82056422240 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 82056422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106527683304).

82056422240 is an abundant number, since it is smaller than the sum of its proper divisors (130998944368).

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

82056422240 is a wasteful number, since it uses less digits than its factorization.

82056422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45401 (or 45380 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 82056422240 its reverse (4222465028), we get a palindrome (86278887268).

The spelling of 82056422240 in words is "eighty-two billion, fifty-six million, four hundred twenty-two thousand, two hundred forty".