81244813076800 has 672 divisors, whose sum is σ = 211851269650944. Its totient is φ = 30636942336000.

The previous prime is 81244813076767. The next prime is 81244813076893. The reversal of 81244813076800 is 867031844218.

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 95 ways as a sum of consecutive naturals, for example, 50120179990 + ... + 50120181610.

It is an arithmetic number, because the mean of its divisors is an integer number (315254865552).

Almost surely, 2^{81244813076800} is an apocalyptic number.

81244813076800 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 81244813076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105925634825472).

81244813076800 is an abundant number, since it is smaller than the sum of its proper divisors (130606456574144).

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

81244813076800 is a wasteful number, since it uses less digits than its factorization.

81244813076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The spelling of 81244813076800 in words is "eighty-one trillion, two hundred forty-four billion, eight hundred thirteen million, seventy-six thousand, eight hundred".