13716368280 has 336 divisors, whose sum is σ = 48872576880. Its totient is φ = 3462528384.

The previous prime is 13716368273. The next prime is 13716368291. The reversal of 13716368280 is 8286361731.

13716368280 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 6 + 368 + 280 = 666.

13716368280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 83 ways as a sum of consecutive naturals, for example, 10526109 + ... + 10527411.

Almost surely, 2^13716368280 is an apocalyptic number.

13716368280 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 13716368280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24436288440).

13716368280 is an abundant number, since it is smaller than the sum of its proper divisors (35156208600).

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

13716368280 is a wasteful number, since it uses less digits than its factorization.

13716368280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13716368280 in words is "thirteen billion, seven hundred sixteen million, three hundred sixty-eight thousand, two hundred eighty".