82381002627727 has 8 divisors (see below), whose sum is σ = 82440578959200. Its totient is φ = 82321427285760.

The previous prime is 82381002627701. The next prime is 82381002627751. The reversal of 82381002627727 is 72772620018328.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82381002627727 - 2²³ = 82380994239119 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82381002624727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282957543 + ... + 283248535.

It is an arithmetic number, because the mean of its divisors is an integer number (10305072369900).

Almost surely, 2^{82381002627727} is an apocalyptic number.

82381002627727 is a deficient number, since it is larger than the sum of its proper divisors (59576331473).

82381002627727 is a wasteful number, since it uses less digits than its factorization.

82381002627727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494753.

The product of its (nonzero) digits is 6322176, while the sum is 55.

The spelling of 82381002627727 in words is "eighty-two trillion, three hundred eighty-one billion, two million, six hundred twenty-seven thousand, seven hundred twenty-seven".