12735827475 has 96 divisors (see below), whose sum is σ = 24437293056. Its totient is φ = 5732649600.

The previous prime is 12735827473. The next prime is 12735827479. The reversal of 12735827475 is 57472853721.

It is not a de Polignac number, because 12735827475 - 2¹ = 12735827473 is a prime.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12735827473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10728832 + ... + 10730018.

It is an arithmetic number, because the mean of its divisors is an integer number (254555136).

Almost surely, 2^12735827475 is an apocalyptic number.

12735827475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12735827475 is a deficient number, since it is larger than the sum of its proper divisors (11701465581).

12735827475 is a wasteful number, since it uses less digits than its factorization.

12735827475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1500 counting only the distinct ones).

The product of its digits is 3292800, while the sum is 51.

The spelling of 12735827475 in words is "twelve billion, seven hundred thirty-five million, eight hundred twenty-seven thousand, four hundred seventy-five".