82045283719680 has 800 divisors, whose sum is σ = 299007986706000. Its totient is φ = 21497747079168.

The previous prime is 82045283719639. The next prime is 82045283719687. The reversal of 82045283719680 is 8691738254028.

82045283719680 is a `hidden beast` number, since 8 + 2 + 0 + 4 + 528 + 37 + 19 + 68 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16488927150336 + 65556356569344 = 4060656^2 + 8096688^2 .

It is not an unprimeable number, because it can be changed into a prime (82045283719687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4071918246 + ... + 4071938394.

It is a 1-persistent number, because it is pandigital, but 2⋅82045283719680 = 164090567439360 is not.

Almost surely, 2^{82045283719680} is an apocalyptic number.

82045283719680 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 82045283719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149503993353000).

82045283719680 is an abundant number, since it is smaller than the sum of its proper divisors (216962702986320).

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

82045283719680 is a wasteful number, since it uses less digits than its factorization.

82045283719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20526 (or 20501 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 82045283719680 in words is "eighty-two trillion, forty-five billion, two hundred eighty-three million, seven hundred nineteen thousand, six hundred eighty".