35680109798089 has 9 divisors (see below), whose sum is σ = 35713370135079. Its totient is φ = 35646880424760.

The previous prime is 35680109798087. The next prime is 35680109798153. The reversal of 35680109798089 is 98089790108653.

The square root of 35680109798089 is 5973283.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34801563511225 + 878546286864 = 5899285^2 + 937308^2 .

It is not a de Polignac number, because 35680109798089 - 2¹ = 35680109798087 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35680109798087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8679178144 + ... + 8679182254.

It is an arithmetic number, because the mean of its divisors is an integer number (3968152237231).

Almost surely, 2^{35680109798089} is an apocalyptic number.

35680109798089 is the 5973283-rd square number.

35680109798089 is the 2986642-nd centered octagonal number.

It is an amenable number.

35680109798089 is a deficient number, since it is larger than the sum of its proper divisors (33260336990).

35680109798089 is an frugal number, since it uses more digits than its factorization.

35680109798089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11128 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 73.

The spelling of 35680109798089 in words is "thirty-five trillion, six hundred eighty billion, one hundred nine million, seven hundred ninety-eight thousand, eighty-nine".