86177820804353 has 2 divisors, whose sum is σ = 86177820804354. Its totient is φ = 86177820804352.

The previous prime is 86177820804329. The next prime is 86177820804367. The reversal of 86177820804353 is 35340802877168.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68399648486464 + 17778172317889 = 8270408^2 + 4216417^2 .

It is a cyclic number.

It is not a de Polignac number, because 86177820804353 - 2⁶ = 86177820804289 is a prime.

It is not a weakly prime, because it can be changed into another prime (86177820804373) 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 as a sum of consecutive naturals, namely, 43088910402176 + 43088910402177.

It is an arithmetic number, because the mean of its divisors is an integer number (43088910402177).

Almost surely, 2^{86177820804353} is an apocalyptic number.

It is an amenable number.

86177820804353 is a deficient number, since it is larger than the sum of its proper divisors (1).

86177820804353 is an equidigital number, since it uses as much as digits as its factorization.

86177820804353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54190080, while the sum is 62.

The spelling of 86177820804353 in words is "eighty-six trillion, one hundred seventy-seven billion, eight hundred twenty million, eight hundred four thousand, three hundred fifty-three".