81752704992 has 288 divisors, whose sum is σ = 275225094144. Its totient is φ = 22525516800.

The previous prime is 81752704937. The next prime is 81752705017. The reversal of 81752704992 is 29940725718.

81752704992 is a `hidden beast` number, since 81 + 7 + 5 + 2 + 70 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 19184142 + ... + 19188402.

It is an arithmetic number, because the mean of its divisors is an integer number (955642688).

Almost surely, 2^81752704992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81752704992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137612547072).

81752704992 is an abundant number, since it is smaller than the sum of its proper divisors (193472389152).

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

81752704992 is a wasteful number, since it uses less digits than its factorization.

81752704992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 81752704992 in words is "eighty-one billion, seven hundred fifty-two million, seven hundred four thousand, nine hundred ninety-two".