13776809130 has 384 divisors, whose sum is σ = 44558933760. Its totient is φ = 3017710080.

The previous prime is 13776809093. The next prime is 13776809147. The reversal of 13776809130 is 3190867731.

13776809130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34702092 + ... + 34702488.

It is an arithmetic number, because the mean of its divisors is an integer number (116038890).

Almost surely, 2^13776809130 is an apocalyptic number.

13776809130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13776809130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22279466880).

13776809130 is an abundant number, since it is smaller than the sum of its proper divisors (30782124630).

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

13776809130 is a wasteful number, since it uses less digits than its factorization.

13776809130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 13776809130 in words is "thirteen billion, seven hundred seventy-six million, eight hundred nine thousand, one hundred thirty".