20004304400177 has 2 divisors, whose sum is σ = 20004304400178. Its totient is φ = 20004304400176.

The previous prime is 20004304400153. The next prime is 20004304400183. The reversal of 20004304400177 is 77100440340002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16506416970481 + 3497887429696 = 4062809^2 + 1870264^2 .

It is a cyclic number.

It is not a de Polignac number, because 20004304400177 - 2⁸ = 20004304399921 is a prime.

It is not a weakly prime, because it can be changed into another prime (20004304400077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10002152200088 + 10002152200089.

It is an arithmetic number, because the mean of its divisors is an integer number (10002152200089).

Almost surely, 2^{20004304400177} is an apocalyptic number.

It is an amenable number.

20004304400177 is a deficient number, since it is larger than the sum of its proper divisors (1).

20004304400177 is an equidigital number, since it uses as much as digits as its factorization.

20004304400177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816, while the sum is 32.

Adding to 20004304400177 its reverse (77100440340002), we get a palindrome (97104744740179).

The spelling of 20004304400177 in words is "twenty trillion, four billion, three hundred four million, four hundred thousand, one hundred seventy-seven".