13188158064000 has 384 divisors, whose sum is σ = 47383916448960. Its totient is φ = 3515212800000.

The previous prime is 13188158063963. The next prime is 13188158064001. The reversal of 13188158064000 is 46085188131.

13188158064000 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 8 + 1 + 580 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13188158064001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328443925 + ... + 328484075.

Almost surely, 2^{13188158064000} is an apocalyptic number.

13188158064000 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 13188158064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23691958224480).

13188158064000 is an abundant number, since it is smaller than the sum of its proper divisors (34195758384960).

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

13188158064000 is a wasteful number, since it uses less digits than its factorization.

13188158064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42467 (or 42442 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 13188158064000 in words is "thirteen trillion, one hundred eighty-eight billion, one hundred fifty-eight million, sixty-four thousand".