5785919808669 has 448 divisors, whose sum is σ = 12097854236160. Its totient is φ = 2667969239040.

The previous prime is 5785919808589. The next prime is 5785919808677. The reversal of 5785919808669 is 9668089195875.

It is not a de Polignac number, because 5785919808669 - 2⁸ = 5785919808413 is a prime.

It is a super-2 number, since 2×5785919808669² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5785919803669) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 7893478227 + ... + 7893478959.

It is an arithmetic number, because the mean of its divisors is an integer number (27004138920).

Almost surely, 2^{5785919808669} is an apocalyptic number.

It is an amenable number.

5785919808669 is an abundant number, since it is smaller than the sum of its proper divisors (6311934427491).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5785919808669 is a wasteful number, since it uses less digits than its factorization.

5785919808669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 81.

The spelling of 5785919808669 in words is "five trillion, seven hundred eighty-five billion, nine hundred nineteen million, eight hundred eight thousand, six hundred sixty-nine".