13397725824 has 384 divisors, whose sum is σ = 43341742080. Its totient is φ = 3652024320.

The previous prime is 13397725813. The next prime is 13397725829. The reversal of 13397725824 is 42852779331.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (13397725829) 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, 60079377 + ... + 60079599.

It is an arithmetic number, because the mean of its divisors is an integer number (112869120).

Almost surely, 2^13397725824 is an apocalyptic number.

13397725824 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 13397725824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670871040).

13397725824 is an abundant number, since it is smaller than the sum of its proper divisors (29944016256).

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

13397725824 is a wasteful number, since it uses less digits than its factorization.

13397725824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 369 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The spelling of 13397725824 in words is "thirteen billion, three hundred ninety-seven million, seven hundred twenty-five thousand, eight hundred twenty-four".