13681872000 has 1024 divisors, whose sum is σ = 56366668800. Its totient is φ = 3284582400.

The previous prime is 13681871999. The next prime is 13681872007. The reversal of 13681872000 is 27818631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13681872007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 594863989 + ... + 594864011.

It is an arithmetic number, because the mean of its divisors is an integer number (55045575).

Almost surely, 2^13681872000 is an apocalyptic number.

13681872000 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 13681872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28183334400).

13681872000 is an abundant number, since it is smaller than the sum of its proper divisors (42684796800).

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

13681872000 is an frugal number, since it uses more digits than its factorization.

13681872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 13681872000 in words is "thirteen billion, six hundred eighty-one million, eight hundred seventy-two thousand".