13665807000 has 512 divisors, whose sum is σ = 52835328000. Its totient is φ = 3247257600.

The previous prime is 13665806993. The next prime is 13665807007. The reversal of 13665807000 is 70856631.

13665807000 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 580 + 70 + 0 + 0 = 666.

13665807000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13665806993) and next prime (13665807007).

It is a super-2 number, since 2×13665807000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13665807007) 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 127 ways as a sum of consecutive naturals, for example, 8720217 + ... + 8721783.

It is an arithmetic number, because the mean of its divisors is an integer number (103194000).

Almost surely, 2^13665807000 is an apocalyptic number.

13665807000 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 13665807000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664000).

13665807000 is an abundant number, since it is smaller than the sum of its proper divisors (39169521000).

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

13665807000 is a wasteful number, since it uses less digits than its factorization.

13665807000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13665807000 in words is "thirteen billion, six hundred sixty-five million, eight hundred seven thousand".