82268971360 has 48 divisors (see below), whose sum is σ = 194393682000. Its totient is φ = 32901961216.

The previous prime is 82268971339. The next prime is 82268971361. The reversal of 82268971360 is 6317986228.

It is a junction number, because it is equal to n+sod(n) for n = 82268971298 and 82268971307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82268971361) 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 7 ways as a sum of consecutive naturals, for example, 967026 + ... + 1048654.

It is an arithmetic number, because the mean of its divisors is an integer number (4049868375).

Almost surely, 2^82268971360 is an apocalyptic number.

82268971360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82268971360 is an abundant number, since it is smaller than the sum of its proper divisors (112124710640).

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

82268971360 is a wasteful number, since it uses less digits than its factorization.

82268971360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87943 (or 87935 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 82268971360 in words is "eighty-two billion, two hundred sixty-eight million, nine hundred seventy-one thousand, three hundred sixty".