13768481580 has 72 divisors (see below), whose sum is σ = 44845921008. Its totient is φ = 3147080832.

The previous prime is 13768481557. The next prime is 13768481591. The reversal of 13768481580 is 8518486731.

It is a happy number.

13768481580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct 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, 2338639 + ... + 2344518.

It is an arithmetic number, because the mean of its divisors is an integer number (622860014).

Almost surely, 2^13768481580 is an apocalyptic number.

13768481580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13768481580 is an abundant number, since it is smaller than the sum of its proper divisors (31077439428).

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

13768481580 is a wasteful number, since it uses less digits than its factorization.

13768481580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683183 (or 4683174 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 13768481580 in words is "thirteen billion, seven hundred sixty-eight million, four hundred eighty-one thousand, five hundred eighty".