11682000728579 has 2 divisors, whose sum is σ = 11682000728580. Its totient is φ = 11682000728578.

The previous prime is 11682000728491. The next prime is 11682000728597. The reversal of 11682000728579 is 97582700028611.

11682000728579 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (11682000728597) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 11682000728579 - 2¹⁶ = 11682000663043 is a prime.

It is not a weakly prime, because it can be changed into another prime (11682090728579) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5841000364289 + 5841000364290.

It is an arithmetic number, because the mean of its divisors is an integer number (5841000364290).

Almost surely, 2^{11682000728579} is an apocalyptic number.

11682000728579 is a deficient number, since it is larger than the sum of its proper divisors (1).

11682000728579 is an equidigital number, since it uses as much as digits as its factorization.

11682000728579 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3386880, while the sum is 56.

The spelling of 11682000728579 in words is "eleven trillion, six hundred eighty-two billion, seven hundred twenty-eight thousand, five hundred seventy-nine".