12435700082575 has 48 divisors (see below), whose sum is σ = 19274692769280. Its totient is φ = 7732195920000.

The previous prime is 12435700082563. The next prime is 12435700082579. The reversal of 12435700082575 is 57528000753421.

It is not a de Polignac number, because 12435700082575 - 2¹¹ = 12435700080527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12435700082579) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7554651 + ... + 9052300.

It is an arithmetic number, because the mean of its divisors is an integer number (401556099360).

Almost surely, 2^{12435700082575} is an apocalyptic number.

12435700082575 is a deficient number, since it is larger than the sum of its proper divisors (6838992686705).

12435700082575 is a wasteful number, since it uses less digits than its factorization.

12435700082575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16607368 (or 16607363 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 49.

The spelling of 12435700082575 in words is "twelve trillion, four hundred thirty-five billion, seven hundred million, eighty-two thousand, five hundred seventy-five".