13679358420 has 288 divisors, whose sum is σ = 48668449536. Its totient is φ = 2845543680.

The previous prime is 13679358331. The next prime is 13679358421. The reversal of 13679358420 is 2485397631.

It is a self number, because there is not a number n which added to its sum of digits gives 13679358420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13679358421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192666985 + ... + 192667055.

It is an arithmetic number, because the mean of its divisors is an integer number (168987672).

It is a 1-persistent number, because it is pandigital, but 2⋅13679358420 = 27358716840 is not.

Almost surely, 2^13679358420 is an apocalyptic number.

13679358420 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 13679358420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24334224768).

13679358420 is an abundant number, since it is smaller than the sum of its proper divisors (34989091116).

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

13679358420 is an equidigital number, since it uses as much as digits as its factorization.

13679358420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 13679358420 in words is "thirteen billion, six hundred seventy-nine million, three hundred fifty-eight thousand, four hundred twenty".