13665610000 has 225 divisors, whose sum is σ = 38719417539. Its totient is φ = 4657296000.

The previous prime is 13665609907. The next prime is 13665610019. The reversal of 13665610000 is 1656631.

The square root of 13665610000 is 116900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1071383824 + 12594226176 = 32732^2 + 112224^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 81829917 + ... + 81830083.

Almost surely, 2^13665610000 is an apocalyptic number.

13665610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13665610000 is the 116900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13665610000

13665610000 is an abundant number, since it is smaller than the sum of its proper divisors (25053807539).

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

13665610000 is an frugal number, since it uses more digits than its factorization.

13665610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The spelling of 13665610000 in words is "thirteen billion, six hundred sixty-five million, six hundred ten thousand".