13258338320 has 80 divisors (see below), whose sum is σ = 33567048000. Its totient is φ = 4850947584.

The previous prime is 13258338253. The next prime is 13258338367. The reversal of 13258338320 is 2383385231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 106310 + ... + 194469.

It is an arithmetic number, because the mean of its divisors is an integer number (419588100).

Almost surely, 2^13258338320 is an apocalyptic number.

13258338320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13258338320 is an abundant number, since it is smaller than the sum of its proper divisors (20308709680).

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

13258338320 is a wasteful number, since it uses less digits than its factorization.

13258338320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300840 (or 300834 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 13258338320 in words is "thirteen billion, two hundred fifty-eight million, three hundred thirty-eight thousand, three hundred twenty".