13226839920 has 720 divisors, whose sum is σ = 54869488128. Its totient is φ = 2900136960.

The previous prime is 13226839877. The next prime is 13226839979. The reversal of 13226839920 is 2993862231.

It is a happy number.

13226839920 is a `hidden beast` number, since 13 + 226 + 8 + 399 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 186293485 + ... + 186293555.

Almost surely, 2^13226839920 is an apocalyptic number.

13226839920 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 13226839920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27434744064).

13226839920 is an abundant number, since it is smaller than the sum of its proper divisors (41642648208).

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

13226839920 is an equidigital number, since it uses as much as digits as its factorization.

13226839920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13226839920 in words is "thirteen billion, two hundred twenty-six million, eight hundred thirty-nine thousand, nine hundred twenty".