13192636800000 has 1056 divisors, whose sum is σ = 51310911891456. Its totient is φ = 2950594560000.

The previous prime is 13192636799983. The next prime is 13192636800017. The reversal of 13192636800000 is 863629131.

It is an interprime number because it is at equal distance from previous prime (13192636799983) and next prime (13192636800017).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3158397912 + ... + 3158402088.

Almost surely, 2^{13192636800000} is an apocalyptic number.

13192636800000 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 13192636800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25655455945728).

13192636800000 is an abundant number, since it is smaller than the sum of its proper divisors (38118275091456).

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

13192636800000 is an frugal number, since it uses more digits than its factorization.

13192636800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 13192636800000 in words is "thirteen trillion, one hundred ninety-two billion, six hundred thirty-six million, eight hundred thousand".