81842023527759 has 192 divisors, whose sum is σ = 140977249320960. Its totient is φ = 45232320672000.

The previous prime is 81842023527757. The next prime is 81842023527917. The reversal of 81842023527759 is 95772532024818.

81842023527759 is a `hidden beast` number, since 8 + 1 + 8 + 4 + 202 + 352 + 7 + 75 + 9 = 666.

It is not a de Polignac number, because 81842023527759 - 2¹ = 81842023527757 is a prime.

It is a super-2 number, since 2×81842023527759² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81842023527696 and 81842023527705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81842023527757) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7281961062 + ... + 7281972300.

It is an arithmetic number, because the mean of its divisors is an integer number (734256506880).

Almost surely, 2^{81842023527759} is an apocalyptic number.

81842023527759 is a deficient number, since it is larger than the sum of its proper divisors (59135225793201).

81842023527759 is a wasteful number, since it uses less digits than its factorization.

81842023527759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12834 (or 12831 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 81842023527759 in words is "eighty-one trillion, eight hundred forty-two billion, twenty-three million, five hundred twenty-seven thousand, seven hundred fifty-nine".