81927407998800 has 960 divisors, whose sum is σ = 366529633935360. Its totient is φ = 16917990635520.

The previous prime is 81927407998763. The next prime is 81927407998801. The reversal of 81927407998800 is 889970472918.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81927407998801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45304779 + ... + 47078421.

It is an arithmetic number, because the mean of its divisors is an integer number (381801702016).

Almost surely, 2^{81927407998800} is an apocalyptic number.

81927407998800 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 81927407998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183264816967680).

81927407998800 is an abundant number, since it is smaller than the sum of its proper divisors (284602225936560).

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

81927407998800 is a wasteful number, since it uses less digits than its factorization.

81927407998800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773737 (or 1773720 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 81927407998800 in words is "eighty-one trillion, nine hundred twenty-seven billion, four hundred seven million, nine hundred ninety-eight thousand, eight hundred".