82283736960 has 384 divisors, whose sum is σ = 295208971200. Its totient is φ = 21093875712.

The previous prime is 82283736947. The next prime is 82283736961. The reversal of 82283736960 is 6963738228.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×82283736960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82283736897 and 82283736906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82283736961) 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 47 ways as a sum of consecutive naturals, for example, 43930584 + ... + 43932456.

Almost surely, 2^82283736960 is an apocalyptic number.

82283736960 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 82283736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147604485600).

82283736960 is an abundant number, since it is smaller than the sum of its proper divisors (212925234240).

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

82283736960 is a wasteful number, since it uses less digits than its factorization.

82283736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 82283736960 in words is "eighty-two billion, two hundred eighty-three million, seven hundred thirty-six thousand, nine hundred sixty".