82163989063200 has 1152 divisors, whose sum is σ = 297449479514880. Its totient is φ = 19534970880000.

The previous prime is 82163989063129. The next prime is 82163989063207. The reversal of 82163989063200 is 236098936128.

It is not an unprimeable number, because it can be changed into a prime (82163989063207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 178229910970 + ... + 178229911430.

It is an arithmetic number, because the mean of its divisors is an integer number (258202673190).

Almost surely, 2^{82163989063200} is an apocalyptic number.

82163989063200 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 82163989063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148724739757440).

82163989063200 is an abundant number, since it is smaller than the sum of its proper divisors (215285490451680).

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

82163989063200 is a wasteful number, since it uses less digits than its factorization.

82163989063200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 82163989063200 in words is "eighty-two trillion, one hundred sixty-three billion, nine hundred eighty-nine million, sixty-three thousand, two hundred".