13711680000 has 750 divisors, whose sum is σ = 53461011219. Its totient is φ = 3497472000.

The previous prime is 13711679959. The next prime is 13711680001. The reversal of 13711680000 is 8611731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 3170140416 + 10541539584 = 56304^2 + 102672^2 .

It is a tau number, because it is divible by the number of its divisors (750).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=82800.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13711680001) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 596159989 + ... + 596160011.

Almost surely, 2^13711680000 is an apocalyptic number.

13711680000 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 13711680000

13711680000 is an abundant number, since it is smaller than the sum of its proper divisors (39749331219).

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

13711680000 is an frugal number, since it uses more digits than its factorization.

13711680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 13711680000 in words is "thirteen billion, seven hundred eleven million, six hundred eighty thousand".