13641035760000 has 960 divisors, whose sum is σ = 54043347655440. Its totient is φ = 3273984000000.

The previous prime is 13641035759999. The next prime is 13641035760017. The reversal of 13641035760000 is 6753014631.

13641035760000 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 10 + 35 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 799911474 + ... + 799928526.

Almost surely, 2^{13641035760000} is an apocalyptic number.

13641035760000 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 13641035760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27021673827720).

13641035760000 is an abundant number, since it is smaller than the sum of its proper divisors (40402311895440).

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

13641035760000 is a wasteful number, since it uses less digits than its factorization.

13641035760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17205 (or 17175 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 13641035760000 its reverse (6753014631), we get a palindrome (13647788774631).

The spelling of 13641035760000 in words is "thirteen trillion, six hundred forty-one billion, thirty-five million, seven hundred sixty thousand".