13660440500 has 144 divisors (see below), whose sum is σ = 34868839824. Its totient is φ = 4661529600.

The previous prime is 13660440481. The next prime is 13660440523. The reversal of 13660440500 is 504406631.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10680809104 + 2979631396 = 103348^2 + 54586^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5707304 + ... + 5709696.

It is an arithmetic number, because the mean of its divisors is an integer number (242144721).

Almost surely, 2^13660440500 is an apocalyptic number.

13660440500 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 13660440500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17434419912).

13660440500 is an abundant number, since it is smaller than the sum of its proper divisors (21208399324).

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

13660440500 is a wasteful number, since it uses less digits than its factorization.

13660440500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 13660440500 in words is "thirteen billion, six hundred sixty million, four hundred forty thousand, five hundred".