13388837280 has 384 divisors, whose sum is σ = 54168403968. Its totient is φ = 2701873152.

The previous prime is 13388837261. The next prime is 13388837311. The reversal of 13388837280 is 8273888331.

It is a super-3 number, since 3×13388837280³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 997977 + ... + 1011303.

It is an arithmetic number, because the mean of its divisors is an integer number (141063552).

Almost surely, 2^13388837280 is an apocalyptic number.

13388837280 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 13388837280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27084201984).

13388837280 is an abundant number, since it is smaller than the sum of its proper divisors (40779566688).

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

13388837280 is a wasteful number, since it uses less digits than its factorization.

13388837280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13388 (or 13380 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 13388837280 in words is "thirteen billion, three hundred eighty-eight million, eight hundred thirty-seven thousand, two hundred eighty".