81680443265200 has 240 divisors, whose sum is σ = 215852824535040. Its totient is φ = 29513978127360.

The previous prime is 81680443265189. The next prime is 81680443265227. The reversal of 81680443265200 is 256234408618.

81680443265200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3773280777 + ... + 3773302423.

It is an arithmetic number, because the mean of its divisors is an integer number (899386768896).

Almost surely, 2^{81680443265200} is an apocalyptic number.

81680443265200 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 81680443265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107926412267520).

81680443265200 is an abundant number, since it is smaller than the sum of its proper divisors (134172381269840).

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

81680443265200 is a wasteful number, since it uses less digits than its factorization.

81680443265200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37164 (or 37153 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 81680443265200 in words is "eighty-one trillion, six hundred eighty billion, four hundred forty-three million, two hundred sixty-five thousand, two hundred".