13812709680 has 1600 divisors, whose sum is σ = 66372894720. Its totient is φ = 2575411200.

The previous prime is 13812709679. The next prime is 13812709681. The reversal of 13812709680 is 8690721831.

13812709680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13812709679) and next prime (13812709681).

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

It is not an unprimeable number, because it can be changed into a prime (13812709681) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 293887417 + ... + 293887463.

Almost surely, 2^13812709680 is an apocalyptic number.

13812709680 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 13812709680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33186447360).

13812709680 is an abundant number, since it is smaller than the sum of its proper divisors (52560185040).

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

13812709680 is a wasteful number, since it uses less digits than its factorization.

13812709680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 13812709680 in words is "thirteen billion, eight hundred twelve million, seven hundred nine thousand, six hundred eighty".