82966011360 has 192 divisors, whose sum is σ = 264956977152. Its totient is φ = 21820409856.

The previous prime is 82966011329. The next prime is 82966011371. The reversal of 82966011360 is 6311066928.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10542147 + ... + 10550013.

It is an arithmetic number, because the mean of its divisors is an integer number (1379984256).

Almost surely, 2^82966011360 is an apocalyptic number.

82966011360 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 82966011360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132478488576).

82966011360 is an abundant number, since it is smaller than the sum of its proper divisors (181990965792).

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

82966011360 is a wasteful number, since it uses less digits than its factorization.

82966011360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8185 (or 8177 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 82966011360 in words is "eighty-two billion, nine hundred sixty-six million, eleven thousand, three hundred sixty".