13257600384 has 256 divisors, whose sum is σ = 42981396480. Its totient is φ = 3538225152.

The previous prime is 13257600287. The next prime is 13257600403. The reversal of 13257600384 is 48300675231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2655939 + ... + 2660925.

It is an arithmetic number, because the mean of its divisors is an integer number (167896080).

Almost surely, 2^13257600384 is an apocalyptic number.

13257600384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13257600384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21490698240).

13257600384 is an abundant number, since it is smaller than the sum of its proper divisors (29723796096).

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

13257600384 is a wasteful number, since it uses less digits than its factorization.

13257600384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 13257600384 in words is "thirteen billion, two hundred fifty-seven million, six hundred thousand, three hundred eighty-four".