13662575000 has 96 divisors (see below), whose sum is σ = 33413173920. Its totient is φ = 5227200000.

The previous prime is 13662574999. The next prime is 13662575009. The reversal of 13662575000 is 57526631.

13662575000 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 (13662575009) 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 23 ways as a sum of consecutive naturals, for example, 563120 + ... + 586880.

It is an arithmetic number, because the mean of its divisors is an integer number (348053895).

Almost surely, 2^13662575000 is an apocalyptic number.

13662575000 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 13662575000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16706586960).

13662575000 is an abundant number, since it is smaller than the sum of its proper divisors (19750598920).

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

13662575000 is an equidigital number, since it uses as much as digits as its factorization.

13662575000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23815 (or 23791 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 13662575000 in words is "thirteen billion, six hundred sixty-two million, five hundred seventy-five thousand".