13806198960000 has 1280 divisors, whose sum is σ = 49952586055680. Its totient is φ = 3367936000000.

The previous prime is 13806198959999. The next prime is 13806198960097. The reversal of 13806198960000 is 6989160831.

It is a super-2 number, since 2×13806198960000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11994959425 + ... + 11994960575.

It is an arithmetic number, because the mean of its divisors is an integer number (39025457856).

Almost surely, 2^{13806198960000} is an apocalyptic number.

13806198960000 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 13806198960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24976293027840).

13806198960000 is an abundant number, since it is smaller than the sum of its proper divisors (36146387095680).

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

13806198960000 is a wasteful number, since it uses less digits than its factorization.

13806198960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 13806198960000 in words is "thirteen trillion, eight hundred six billion, one hundred ninety-eight million, nine hundred sixty thousand".