5375640465735 has 128 divisors (see below), whose sum is σ = 9386508288000. Its totient is φ = 2617765516800.

The previous prime is 5375640465691. The next prime is 5375640465743.

It is a happy number.

5375640465735 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5375640465735 - 2⁸ = 5375640465479 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 584367666 + ... + 584376864.

It is an arithmetic number, because the mean of its divisors is an integer number (73332096000).

Almost surely, 2^{5375640465735} is an apocalyptic number.

5375640465735 is a deficient number, since it is larger than the sum of its proper divisors (4010867822265).

5375640465735 is a wasteful number, since it uses less digits than its factorization.

5375640465735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9781.

The product of its (nonzero) digits is 158760000, while the sum is 60.

The spelling of 5375640465735 in words is "five trillion, three hundred seventy-five billion, six hundred forty million, four hundred sixty-five thousand, seven hundred thirty-five".