13713728716800 has 1350 divisors, whose sum is σ = 58301154759848. Its totient is φ = 3134566563840.

The previous prime is 13713728716763. The next prime is 13713728716829. The reversal of 13713728716800 is 861782731731.

13713728716800 is a `hidden beast` number, since 1 + 37 + 1 + 372 + 87 + 168 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1350).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1959104102397 + ... + 1959104102403.

Almost surely, 2^{13713728716800} is an apocalyptic number.

13713728716800 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 13713728716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29150577379924).

13713728716800 is an abundant number, since it is smaller than the sum of its proper divisors (44587426043048).

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

13713728716800 is an frugal number, since it uses more digits than its factorization.

13713728716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 13713728716800 in words is "thirteen trillion, seven hundred thirteen billion, seven hundred twenty-eight million, seven hundred sixteen thousand, eight hundred".