13661827400 has 96 divisors (see below), whose sum is σ = 34361967360. Its totient is φ = 5021533440.

The previous prime is 13661827397. The next prime is 13661827411. The reversal of 13661827400 is 472816631.

13661827400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 568019 + ... + 591581.

It is an arithmetic number, because the mean of its divisors is an integer number (357937160).

Almost surely, 2^13661827400 is an apocalyptic number.

13661827400 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 13661827400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17180983680).

13661827400 is an abundant number, since it is smaller than the sum of its proper divisors (20700139960).

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

13661827400 is a wasteful number, since it uses less digits than its factorization.

13661827400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23815 (or 23806 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 13661827400 in words is "thirteen billion, six hundred sixty-one million, eight hundred twenty-seven thousand, four hundred".