5757506667405 has 24 divisors (see below), whose sum is σ = 10046655941400. Its totient is φ = 3050061694080.

The previous prime is 5757506667403. The next prime is 5757506667431. The reversal of 5757506667405 is 5047666057575.

5757506667405 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 215352611721 + 5542154055684 = 464061^2 + 2354178^2 .

It is not a de Polignac number, because 5757506667405 - 2¹ = 5757506667403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757506667403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429337566 + ... + 429350975.

It is an arithmetic number, because the mean of its divisors is an integer number (418610664225).

Almost surely, 2^{5757506667405} is an apocalyptic number.

It is an amenable number.

5757506667405 is a deficient number, since it is larger than the sum of its proper divisors (4289149273995).

5757506667405 is a wasteful number, since it uses less digits than its factorization.

5757506667405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858688701 (or 858688698 counting only the distinct ones).

The product of its (nonzero) digits is 185220000, while the sum is 63.

The spelling of 5757506667405 in words is "five trillion, seven hundred fifty-seven billion, five hundred six million, six hundred sixty-seven thousand, four hundred five".