13808256000 has 704 divisors, whose sum is σ = 57387792384. Its totient is φ = 2863104000.

The previous prime is 13808255999. The next prime is 13808256037. The reversal of 13808256000 is 65280831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29567767 + ... + 29568233.

Almost surely, 2^13808256000 is an apocalyptic number.

13808256000 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 13808256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28693896192).

13808256000 is an abundant number, since it is smaller than the sum of its proper divisors (43579536384).

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

13808256000 is a wasteful number, since it uses less digits than its factorization.

13808256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 13808256000 in words is "thirteen billion, eight hundred eight million, two hundred fifty-six thousand".