13855206720 has 224 divisors, whose sum is σ = 47106230400. Its totient is φ = 3437953024.

The previous prime is 13855206719. The next prime is 13855206749. The reversal of 13855206720 is 2760255831.

13855206720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1447711 + ... + 1457249.

Almost surely, 2^13855206720 is an apocalyptic number.

13855206720 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 13855206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23553115200).

13855206720 is an abundant number, since it is smaller than the sum of its proper divisors (33251023680).

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

13855206720 is a wasteful number, since it uses less digits than its factorization.

13855206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9665 (or 9655 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 13855206720 in words is "thirteen billion, eight hundred fifty-five million, two hundred six thousand, seven hundred twenty".