13438791960 has 256 divisors, whose sum is σ = 46954598400. Its totient is φ = 3042547200.

The previous prime is 13438791953. The next prime is 13438791967. The reversal of 13438791960 is 6919783431.

It is an interprime number because it is at equal distance from previous prime (13438791953) and next prime (13438791967).

It is a super-2 number, since 2×13438791960² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13438791967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1776907 + ... + 1784453.

It is an arithmetic number, because the mean of its divisors is an integer number (183416400).

Almost surely, 2^13438791960 is an apocalyptic number.

13438791960 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 13438791960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23477299200).

13438791960 is an abundant number, since it is smaller than the sum of its proper divisors (33515806440).

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

13438791960 is a wasteful number, since it uses less digits than its factorization.

13438791960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7662 (or 7658 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 13438791960 in words is "thirteen billion, four hundred thirty-eight million, seven hundred ninety-one thousand, nine hundred sixty".