27203440144128 has 288 divisors, whose sum is σ = 75853212825600. Its totient is φ = 8638670143488.

The previous prime is 27203440144121. The next prime is 27203440144169. The reversal of 27203440144128 is 82144104430272.

It is a self number, because there is not a number n which added to its sum of digits gives 27203440144128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27203440144121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5194467526 + ... + 5194472762.

It is an arithmetic number, because the mean of its divisors is an integer number (263379211200).

Almost surely, 2^{27203440144128} 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 27203440144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37926606412800).

27203440144128 is an abundant number, since it is smaller than the sum of its proper divisors (48649772681472).

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

27203440144128 is a wasteful number, since it uses less digits than its factorization.

27203440144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 27203440144128 in words is "twenty-seven trillion, two hundred three billion, four hundred forty million, one hundred forty-four thousand, one hundred twenty-eight".