13435920672 has 48 divisors (see below), whose sum is σ = 36802745280. Its totient is φ = 4283916032.

The previous prime is 13435920647. The next prime is 13435920683. The reversal of 13435920672 is 27602953431.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3040347 + ... + 3044762.

It is an arithmetic number, because the mean of its divisors is an integer number (766723860).

Almost surely, 2^13435920672 is an apocalyptic number.

13435920672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13435920672 is an abundant number, since it is smaller than the sum of its proper divisors (23366824608).

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

13435920672 is a wasteful number, since it uses less digits than its factorization.

13435920672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6085145 (or 6085137 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 13435920672 in words is "thirteen billion, four hundred thirty-five million, nine hundred twenty thousand, six hundred seventy-two".