13980672000 has 672 divisors, whose sum is σ = 53026659504. Its totient is φ = 3538944000.

The previous prime is 13980671953. The next prime is 13980672073. The reversal of 13980672000 is 27608931.

13980672000 is a `hidden beast` number, since 1 + 398 + 0 + 67 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 218566656 + 13762105344 = 14784^2 + 117312^2 .

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340991980 + ... + 340992020.

Almost surely, 2^13980672000 is an apocalyptic number.

13980672000 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 13980672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26513329752).

13980672000 is an abundant number, since it is smaller than the sum of its proper divisors (39045987504).

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

13980672000 is an equidigital number, since it uses as much as digits as its factorization.

13980672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13980672000 in words is "thirteen billion, nine hundred eighty million, six hundred seventy-two thousand".