81894883200 has 384 divisors, whose sum is σ = 292834590720. Its totient is φ = 19996139520.

The previous prime is 81894883193. The next prime is 81894883201. The reversal of 81894883200 is 238849818.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81894883201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15847017 + ... + 15852183.

It is an arithmetic number, because the mean of its divisors is an integer number (762590080).

Almost surely, 2^81894883200 is an apocalyptic number.

81894883200 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 81894883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146417295360).

81894883200 is an abundant number, since it is smaller than the sum of its proper divisors (210939707520).

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

81894883200 is a wasteful number, since it uses less digits than its factorization.

81894883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 81894883200 in words is "eighty-one billion, eight hundred ninety-four million, eight hundred eighty-three thousand, two hundred".