13983580800 has 864 divisors, whose sum is σ = 60356761920. Its totient is φ = 3187537920.

The previous prime is 13983580799. The next prime is 13983580901. The reversal of 13983580800 is 808538931.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 38102217 + ... + 38102583.

Almost surely, 2^13983580800 is an apocalyptic number.

13983580800 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 13983580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30178380960).

13983580800 is an abundant number, since it is smaller than the sum of its proper divisors (46373181120).

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

13983580800 is an equidigital number, since it uses as much as digits as its factorization.

13983580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 13983580800 in words is "thirteen billion, nine hundred eighty-three million, five hundred eighty thousand, eight hundred".