13387038720 has 288 divisors, whose sum is σ = 46808254080. Its totient is φ = 3240099840.

The previous prime is 13387038659. The next prime is 13387038727. The reversal of 13387038720 is 2783078331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13387038727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21626571 + ... + 21627189.

It is an arithmetic number, because the mean of its divisors is an integer number (162528660).

Almost surely, 2^13387038720 is an apocalyptic number.

13387038720 is a gapful number since it is divisible by the number (10) 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 13387038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23404127040).

13387038720 is an abundant number, since it is smaller than the sum of its proper divisors (33421215360).

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

13387038720 is an frugal number, since it uses more digits than its factorization.

13387038720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 13387038720 in words is "thirteen billion, three hundred eighty-seven million, thirty-eight thousand, seven hundred twenty".