13721600000 has 204 divisors, whose sum is σ = 34813506168. Its totient is φ = 5406720000.

The previous prime is 13721599909. The next prime is 13721600017. The reversal of 13721600000 is 612731.

It is a happy number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204799967 + ... + 204800033.

It is an arithmetic number, because the mean of its divisors is an integer number (170654442).

Almost surely, 2^13721600000 is an apocalyptic number.

13721600000 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 13721600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17406753084).

13721600000 is an abundant number, since it is smaller than the sum of its proper divisors (21091906168).

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

13721600000 is an frugal number, since it uses more digits than its factorization.

13721600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The spelling of 13721600000 in words is "thirteen billion, seven hundred twenty-one million, six hundred thousand".