13689655711200 has 1080 divisors, whose sum is σ = 58231092471552. Its totient is φ = 3120617041920.

The previous prime is 13689655711187. The next prime is 13689655711253. The reversal of 13689655711200 is 211755698631.

13689655711200 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 9 + 65 + 571 + 1 + 2 + 0 + 0 = 666.

13689655711200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

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 179 ways as a sum of consecutive naturals, for example, 1216095972 + ... + 1216107228.

Almost surely, 2^{13689655711200} is an apocalyptic number.

13689655711200 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 13689655711200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29115546235776).

13689655711200 is an abundant number, since it is smaller than the sum of its proper divisors (44541436760352).

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

13689655711200 is a wasteful number, since it uses less digits than its factorization.

13689655711200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11686 (or 11657 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 13689655711200 in words is "thirteen trillion, six hundred eighty-nine billion, six hundred fifty-five million, seven hundred eleven thousand, two hundred".