13705216000 has 272 divisors, whose sum is σ = 39258385920. Its totient is φ = 4679270400.

The previous prime is 13705215949. The next prime is 13705216003. The reversal of 13705216000 is 61250731.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13705216003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57343881 + ... + 57344119.

Almost surely, 2^13705216000 is an apocalyptic number.

13705216000 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 13705216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629192960).

13705216000 is an abundant number, since it is smaller than the sum of its proper divisors (25553169920).

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

13705216000 is an frugal number, since it uses more digits than its factorization.

13705216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

Adding to 13705216000 its reverse (61250731), we get a palindrome (13766466731).

The spelling of 13705216000 in words is "thirteen billion, seven hundred five million, two hundred sixteen thousand".