13781109888 has 384 divisors, whose sum is σ = 49864389120. Its totient is φ = 3555975168.

The previous prime is 13781109883. The next prime is 13781109889. The reversal of 13781109888 is 88890118731.

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 (13781109883) 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, 4925706 + ... + 4928502.

It is an arithmetic number, because the mean of its divisors is an integer number (129855180).

Almost surely, 2^13781109888 is an apocalyptic number.

13781109888 is a gapful number since it is divisible by the number (18) 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 13781109888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24932194560).

13781109888 is an abundant number, since it is smaller than the sum of its proper divisors (36083279232).

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

13781109888 is a wasteful number, since it uses less digits than its factorization.

13781109888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 13781109888 in words is "thirteen billion, seven hundred eighty-one million, one hundred nine thousand, eight hundred eighty-eight".