13038698736 has 320 divisors, whose sum is σ = 44075750400. Its totient is φ = 3613123584.

The previous prime is 13038698707. The next prime is 13038698747. The reversal of 13038698736 is 63789683031.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25616050 + ... + 25616558.

It is an arithmetic number, because the mean of its divisors is an integer number (137736720).

Almost surely, 2^13038698736 is an apocalyptic number.

13038698736 is a gapful number since it is divisible by the number (16) 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 13038698736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22037875200).

13038698736 is an abundant number, since it is smaller than the sum of its proper divisors (31037051664).

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

13038698736 is a wasteful number, since it uses less digits than its factorization.

13038698736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 13038698736 in words is "thirteen billion, thirty-eight million, six hundred ninety-eight thousand, seven hundred thirty-six".