13420368000 has 768 divisors, whose sum is σ = 53170266240. Its totient is φ = 3223756800.

The previous prime is 13420367999. The next prime is 13420368011. The reversal of 13420368000 is 86302431.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125423947 + ... + 125424053.

Almost surely, 2^13420368000 is an apocalyptic number.

13420368000 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 13420368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26585133120).

13420368000 is an abundant number, since it is smaller than the sum of its proper divisors (39749898240).

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

13420368000 is a wasteful number, since it uses less digits than its factorization.

13420368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13420368000 in words is "thirteen billion, four hundred twenty million, three hundred sixty-eight thousand".