12735435537 has 48 divisors (see below), whose sum is σ = 20230269696. Its totient is φ = 7656300000.

The previous prime is 12735435527. The next prime is 12735435541. The reversal of 12735435537 is 73553453721.

12735435537 is a `hidden beast` number, since 1 + 2 + 73 + 5 + 43 + 5 + 537 = 666.

It is not a de Polignac number, because 12735435537 - 2⁶ = 12735435473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12735435492 and 12735435501.

It is not an unprimeable number, because it can be changed into a prime (12735435527) 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, 7031362 + ... + 7033172.

It is an arithmetic number, because the mean of its divisors is an integer number (421463952).

Almost surely, 2^12735435537 is an apocalyptic number.

It is an amenable number.

12735435537 is a deficient number, since it is larger than the sum of its proper divisors (7494834159).

12735435537 is a wasteful number, since it uses less digits than its factorization.

12735435537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2359 counting only the distinct ones).

The product of its digits is 1323000, while the sum is 45.

The spelling of 12735435537 in words is "twelve billion, seven hundred thirty-five million, four hundred thirty-five thousand, five hundred thirty-seven".