13765809904 has 270 divisors, whose sum is σ = 35471620296. Its totient is φ = 5155920000.

The previous prime is 13765809877. The next prime is 13765809913. The reversal of 13765809904 is 40990856731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 91164229 + ... + 91164379.

Almost surely, 2^13765809904 is an apocalyptic number.

13765809904 is a gapful number since it is divisible by the number (14) 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 13765809904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17735810148).

13765809904 is an abundant number, since it is smaller than the sum of its proper divisors (21705810392).

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

13765809904 is a wasteful number, since it uses less digits than its factorization.

13765809904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 13765809904 in words is "thirteen billion, seven hundred sixty-five million, eight hundred nine thousand, nine hundred four".