75760889486917 has 2 divisors, whose sum is σ = 75760889486918. Its totient is φ = 75760889486916.

The previous prime is 75760889486783. The next prime is 75760889486923. The reversal of 75760889486917 is 71968498806757.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68273847314401 + 7487042172516 = 8262799^2 + 2736246^2 .

It is a cyclic number.

It is not a de Polignac number, because 75760889486917 - 2¹⁵ = 75760889454149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (75760880486917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37880444743458 + 37880444743459.

It is an arithmetic number, because the mean of its divisors is an integer number (37880444743459).

Almost surely, 2^{75760889486917} is an apocalyptic number.

It is an amenable number.

75760889486917 is a deficient number, since it is larger than the sum of its proper divisors (1).

75760889486917 is an equidigital number, since it uses as much as digits as its factorization.

75760889486917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10241925120, while the sum is 85.

The spelling of 75760889486917 in words is "seventy-five trillion, seven hundred sixty billion, eight hundred eighty-nine million, four hundred eighty-six thousand, nine hundred seventeen".