58991766401 has 2 divisors, whose sum is σ = 58991766402. Its totient is φ = 58991766400.

The previous prime is 58991766391. The next prime is 58991766403. The reversal of 58991766401 is 10466719985.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39223406401 + 19768360000 = 198049^2 + 140600^2 .

It is a cyclic number.

It is not a de Polignac number, because 58991766401 - 2¹⁰ = 58991765377 is a prime.

It is a super-2 number, since 2×58991766401² (a number of 22 digits) contains 22 as substring.

Together with 58991766403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (58991766403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29495883200 + 29495883201.

It is an arithmetic number, because the mean of its divisors is an integer number (29495883201).

Almost surely, 2^58991766401 is an apocalyptic number.

It is an amenable number.

58991766401 is a deficient number, since it is larger than the sum of its proper divisors (1).

58991766401 is an equidigital number, since it uses as much as digits as its factorization.

58991766401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3265920, while the sum is 56.

The spelling of 58991766401 in words is "fifty-eight billion, nine hundred ninety-one million, seven hundred sixty-six thousand, four hundred one".