58906191777661 has 8 divisors (see below), whose sum is σ = 60940382901048. Its totient is φ = 56900450880000.

The previous prime is 58906191777637. The next prime is 58906191777749. The reversal of 58906191777661 is 16677719160985.

It can be written as a sum of positive squares in 4 ways, for example, as 5156487224100 + 53749704553561 = 2270790^2 + 7331419^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 58906191777661 - 2²⁵ = 58906158223229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58906191775661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7112552220 + ... + 7112560501.

It is an arithmetic number, because the mean of its divisors is an integer number (7617547862631).

Almost surely, 2^{58906191777661} is an apocalyptic number.

It is an amenable number.

58906191777661 is a deficient number, since it is larger than the sum of its proper divisors (2034191123387).

58906191777661 is a wasteful number, since it uses less digits than its factorization.

58906191777661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14225112863.

The product of its (nonzero) digits is 240045120, while the sum is 73.

The spelling of 58906191777661 in words is "fifty-eight trillion, nine hundred six billion, one hundred ninety-one million, seven hundred seventy-seven thousand, six hundred sixty-one".