13766289140 has 24 divisors (see below), whose sum is σ = 28948147200. Its totient is φ = 5499098528.

The previous prime is 13766289101. The next prime is 13766289149. The reversal of 13766289140 is 4198266731.

13766289140 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 not an unprimeable number, because it can be changed into a prime (13766289149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 448340 + ... + 478059.

It is an arithmetic number, because the mean of its divisors is an integer number (1206172800).

Almost surely, 2^13766289140 is an apocalyptic number.

13766289140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13766289140 is an abundant number, since it is smaller than the sum of its proper divisors (15181858060).

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

13766289140 is a wasteful number, since it uses less digits than its factorization.

13766289140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927151 (or 927149 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 13766289140 in words is "thirteen billion, seven hundred sixty-six million, two hundred eighty-nine thousand, one hundred forty".