13505435223504 has 80 divisors (see below), whose sum is σ = 39877854653952. Its totient is φ = 3858244331904.

The previous prime is 13505435223487. The next prime is 13505435223521. The reversal of 13505435223504 is 40532253450531.

It is an interprime number because it is at equal distance from previous prime (13505435223487) and next prime (13505435223521).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530167 + ... + 5224169.

Almost surely, 2^{13505435223504} is an apocalyptic number.

13505435223504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13505435223504 is an abundant number, since it is smaller than the sum of its proper divisors (26372419430448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13505435223504 is a wasteful number, since it uses less digits than its factorization.

13505435223504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702584 (or 4702578 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 42.

The spelling of 13505435223504 in words is "thirteen trillion, five hundred five billion, four hundred thirty-five million, two hundred twenty-three thousand, five hundred four".