13927872000 has 640 divisors, whose sum is σ = 54377376768. Its totient is φ = 3096576000.

The previous prime is 13927871959. The next prime is 13927872017. The reversal of 13927872000 is 27872931.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 13927872000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57791880 + ... + 57792120.

Almost surely, 2^13927872000 is an apocalyptic number.

13927872000 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 13927872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27188688384).

13927872000 is an abundant number, since it is smaller than the sum of its proper divisors (40449504768).

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

13927872000 is an equidigital number, since it uses as much as digits as its factorization.

13927872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 13927872000 in words is "thirteen billion, nine hundred twenty-seven million, eight hundred seventy-two thousand".