13675420000 has 180 divisors, whose sum is σ = 36986682348. Its totient is φ = 4972000000.

The previous prime is 13675419991. The next prime is 13675420013. The reversal of 13675420000 is 2457631.

13675420000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13675420000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 2417175 + ... + 2422825.

Almost surely, 2^13675420000 is an apocalyptic number.

13675420000 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 13675420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18493341174).

13675420000 is an abundant number, since it is smaller than the sum of its proper divisors (23311262348).

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

13675420000 is an equidigital number, since it uses as much as digits as its factorization.

13675420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5703 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 13675420000 its reverse (2457631), we get a palindrome (13677877631).

The spelling of 13675420000 in words is "thirteen billion, six hundred seventy-five million, four hundred twenty thousand".