13405435253199 has 48 divisors (see below), whose sum is σ = 21516382577664. Its totient is φ = 7974056059200.

The previous prime is 13405435253173. The next prime is 13405435253269. The reversal of 13405435253199 is 99135253450431.

It is a happy number.

13405435253199 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 54 + 3 + 52 + 531 + 9 + 9 = 666.

It is not a de Polignac number, because 13405435253199 - 2²⁰ = 13405434204623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405435253149) 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, 398854 + ... + 5193260.

It is an arithmetic number, because the mean of its divisors is an integer number (448257970368).

Almost surely, 2^{13405435253199} is an apocalyptic number.

13405435253199 is a deficient number, since it is larger than the sum of its proper divisors (8110947324465).

13405435253199 is a wasteful number, since it uses less digits than its factorization.

13405435253199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794948 (or 4794945 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 13405435253199 in words is "thirteen trillion, four hundred five billion, four hundred thirty-five million, two hundred fifty-three thousand, one hundred ninety-nine".