10732686166801 has 2 divisors, whose sum is σ = 10732686166802. Its totient is φ = 10732686166800.

The previous prime is 10732686166739. The next prime is 10732686166837. The reversal of 10732686166801 is 10866168623701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9145791688401 + 1586894478400 = 3024201^2 + 1259720^2 .

It is a cyclic number.

It is not a de Polignac number, because 10732686166801 - 2¹³ = 10732686158609 is a prime.

It is not a weakly prime, because it can be changed into another prime (10732686166841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5366343083400 + 5366343083401.

It is an arithmetic number, because the mean of its divisors is an integer number (5366343083401).

Almost surely, 2^{10732686166801} is an apocalyptic number.

It is an amenable number.

10732686166801 is a deficient number, since it is larger than the sum of its proper divisors (1).

10732686166801 is an equidigital number, since it uses as much as digits as its factorization.

10732686166801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 10732686166801 in words is "ten trillion, seven hundred thirty-two billion, six hundred eighty-six million, one hundred sixty-six thousand, eight hundred one".