13638027576 has 64 divisors (see below), whose sum is σ = 35233672320. Its totient is φ = 4396291200.

The previous prime is 13638027551. The next prime is 13638027593. The reversal of 13638027576 is 67572083631.

13638027576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13638027576³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 38811 + ... + 169653.

It is an arithmetic number, because the mean of its divisors is an integer number (550526130).

Almost surely, 2^13638027576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13638027576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17616836160).

13638027576 is an abundant number, since it is smaller than the sum of its proper divisors (21595644744).

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

13638027576 is a wasteful number, since it uses less digits than its factorization.

13638027576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130996 (or 130992 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 13638027576 in words is "thirteen billion, six hundred thirty-eight million, twenty-seven thousand, five hundred seventy-six".