13690845604800 has 2016 divisors, whose sum is σ = 62998127861760. Its totient is φ = 2742261350400.

The previous prime is 13690845604781. The next prime is 13690845604829. The reversal of 13690845604800 is 840654809631.

13690845604800 is a `hidden beast` number, since 1 + 3 + 69 + 0 + 8 + 45 + 60 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2152984021 + ... + 2152990379.

It is an arithmetic number, because the mean of its divisors is an integer number (31249071360).

Almost surely, 2^{13690845604800} is an apocalyptic number.

13690845604800 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 13690845604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31499063930880).

13690845604800 is an abundant number, since it is smaller than the sum of its proper divisors (49307282256960).

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

13690845604800 is a wasteful number, since it uses less digits than its factorization.

13690845604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6491 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 13690845604800 in words is "thirteen trillion, six hundred ninety billion, eight hundred forty-five million, six hundred four thousand, eight hundred".