81044240715360 has 1728 divisors, whose sum is σ = 320675041290240. Its totient is φ = 18522417070080.

The previous prime is 81044240715343. The next prime is 81044240715391. The reversal of 81044240715360 is 6351704244018.

81044240715360 is a `hidden beast` number, since 8 + 1 + 0 + 4 + 4 + 2 + 40 + 71 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 76384769230 + ... + 76384770290.

It is an arithmetic number, because the mean of its divisors is an integer number (185575834080).

Almost surely, 2^{81044240715360} is an apocalyptic number.

81044240715360 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 81044240715360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160337520645120).

81044240715360 is an abundant number, since it is smaller than the sum of its proper divisors (239630800574880).

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

81044240715360 is a wasteful number, since it uses less digits than its factorization.

81044240715360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

Adding to 81044240715360 its reverse (6351704244018), we get a palindrome (87395944959378).

The spelling of 81044240715360 in words is "eighty-one trillion, forty-four billion, two hundred forty million, seven hundred fifteen thousand, three hundred sixty".