13721819904 has 360 divisors, whose sum is σ = 44562838320. Its totient is φ = 4174405632.

The previous prime is 13721819857. The next prime is 13721819953. The reversal of 13721819904 is 40991812731.

It is a self number, because there is not a number n which added to its sum of digits gives 13721819904.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29382679 + ... + 29383145.

It is an arithmetic number, because the mean of its divisors is an integer number (123785662).

Almost surely, 2^13721819904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13721819904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22281419160).

13721819904 is an abundant number, since it is smaller than the sum of its proper divisors (30841018416).

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

13721819904 is a wasteful number, since it uses less digits than its factorization.

13721819904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 13721819904 in words is "thirteen billion, seven hundred twenty-one million, eight hundred nineteen thousand, nine hundred four".