82270012160 has 864 divisors, whose sum is σ = 265750087680. Its totient is φ = 24153292800.

The previous prime is 82270012157. The next prime is 82270012169. The reversal of 82270012160 is 6121007228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82270012169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 628015295 + ... + 628015425.

It is an arithmetic number, because the mean of its divisors is an integer number (307581120).

Almost surely, 2^82270012160 is an apocalyptic number.

82270012160 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 82270012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132875043840).

82270012160 is an abundant number, since it is smaller than the sum of its proper divisors (183480075520).

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

82270012160 is a wasteful number, since it uses less digits than its factorization.

82270012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 82270012160 its reverse (6121007228), we get a palindrome (88391019388).

The spelling of 82270012160 in words is "eighty-two billion, two hundred seventy million, twelve thousand, one hundred sixty".