13681804800 has 240 divisors, whose sum is σ = 45392719680. Its totient is φ = 3632701440.

The previous prime is 13681804789. The next prime is 13681804811. The reversal of 13681804800 is 840818631.

It is an interprime number because it is at equal distance from previous prime (13681804789) and next prime (13681804811).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10866571 + ... + 10867829.

It is an arithmetic number, because the mean of its divisors is an integer number (189136332).

Almost surely, 2^13681804800 is an apocalyptic number.

13681804800 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 13681804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22696359840).

13681804800 is an abundant number, since it is smaller than the sum of its proper divisors (31710914880).

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

13681804800 is a wasteful number, since it uses less digits than its factorization.

13681804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 13681804800 in words is "thirteen billion, six hundred eighty-one million, eight hundred four thousand, eight hundred".