13768298280 has 96 divisors (see below), whose sum is σ = 48814889760. Its totient is φ = 3337768320.

The previous prime is 13768298261. The next prime is 13768298311. The reversal of 13768298280 is 8289286731.

It is a happy number.

13768298280 is a `hidden beast` number, since 1 + 3 + 76 + 8 + 298 + 280 = 666.

13768298280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13768298280³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1734462 + ... + 1742381.

It is an arithmetic number, because the mean of its divisors is an integer number (508488435).

Almost surely, 2^13768298280 is an apocalyptic number.

13768298280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13768298280 is an abundant number, since it is smaller than the sum of its proper divisors (35046591480).

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

13768298280 is a wasteful number, since it uses less digits than its factorization.

13768298280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476871 (or 3476864 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 13768298280 in words is "thirteen billion, seven hundred sixty-eight million, two hundred ninety-eight thousand, two hundred eighty".