85958627863601 has 2 divisors, whose sum is σ = 85958627863602. Its totient is φ = 85958627863600.

The previous prime is 85958627863567. The next prime is 85958627863621. The reversal of 85958627863601 is 10636872685958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78426539727376 + 7532088136225 = 8855876^2 + 2744465^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85958627863601 is a prime.

It is not a weakly prime, because it can be changed into another prime (85958627863621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42979313931800 + 42979313931801.

It is an arithmetic number, because the mean of its divisors is an integer number (42979313931801).

Almost surely, 2^{85958627863601} is an apocalyptic number.

It is an amenable number.

85958627863601 is a deficient number, since it is larger than the sum of its proper divisors (1).

85958627863601 is an equidigital number, since it uses as much as digits as its factorization.

85958627863601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1045094400, while the sum is 74.

The spelling of 85958627863601 in words is "eighty-five trillion, nine hundred fifty-eight billion, six hundred twenty-seven million, eight hundred sixty-three thousand, six hundred one".