13998079180800 has 3456 divisors, whose sum is σ = 63732804276960. Its totient is φ = 2906652672000.

The previous prime is 13998079180793. The next prime is 13998079180847. The reversal of 13998079180800 is 808197089931.

13998079180800 is a `hidden beast` number, since 1 + 399 + 8 + 0 + 7 + 91 + 80 + 80 + 0 = 666.

It is a super-3 number, since 3×13998079180800³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 197156044765 + ... + 197156044835.

Almost surely, 2^{13998079180800} is an apocalyptic number.

13998079180800 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 13998079180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31866402138480).

13998079180800 is an abundant number, since it is smaller than the sum of its proper divisors (49734725096160).

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

13998079180800 is a wasteful number, since it uses less digits than its factorization.

13998079180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 63.

The spelling of 13998079180800 in words is "thirteen trillion, nine hundred ninety-eight billion, seventy-nine million, one hundred eighty thousand, eight hundred".