13285679220 has 288 divisors, whose sum is σ = 44954372736. Its totient is φ = 3148876800.

The previous prime is 13285679219. The next prime is 13285679227. The reversal of 13285679220 is 2297658231.

13285679220 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13285679227) 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 95 ways as a sum of consecutive naturals, for example, 38287087 + ... + 38287433.

It is an arithmetic number, because the mean of its divisors is an integer number (156091572).

Almost surely, 2^13285679220 is an apocalyptic number.

13285679220 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 13285679220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22477186368).

13285679220 is an abundant number, since it is smaller than the sum of its proper divisors (31668693516).

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

13285679220 is a wasteful number, since it uses less digits than its factorization.

13285679220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13285679220 in words is "thirteen billion, two hundred eighty-five million, six hundred seventy-nine thousand, two hundred twenty".