81892524092544 has 512 divisors, whose sum is σ = 281348620416000. Its totient is φ = 23187748331520.

The previous prime is 81892524092479. The next prime is 81892524092551. The reversal of 81892524092544 is 44529042529818.

81892524092544 is a `hidden beast` number, since 8 + 1 + 89 + 2 + 5 + 2 + 4 + 0 + 9 + 2 + 544 = 666.

81892524092544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 51951639 + ... + 53504745.

It is an arithmetic number, because the mean of its divisors is an integer number (549509024250).

Almost surely, 2^{81892524092544} 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 81892524092544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140674310208000).

81892524092544 is an abundant number, since it is smaller than the sum of its proper divisors (199456096323456).

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

81892524092544 is a wasteful number, since it uses less digits than its factorization.

81892524092544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553233 (or 1553215 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 81892524092544 in words is "eighty-one trillion, eight hundred ninety-two billion, five hundred twenty-four million, ninety-two thousand, five hundred forty-four".