27505131990336 has 2016 divisors, whose sum is σ = 114551244347904. Its totient is φ = 6117595545600.

The previous prime is 27505131990331. The next prime is 27505131990389. The reversal of 27505131990336 is 63309913150572.

27505131990336 is a `hidden beast` number, since 2 + 7 + 5 + 0 + 513 + 1 + 9 + 90 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27505131990331) 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 287 ways as a sum of consecutive naturals, for example, 7655197756 + ... + 7655201348.

It is an arithmetic number, because the mean of its divisors is an integer number (56821053744).

Almost surely, 2^{27505131990336} is an apocalyptic number.

27505131990336 is a gapful number since it is divisible by the number (26) 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 27505131990336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57275622173952).

27505131990336 is an abundant number, since it is smaller than the sum of its proper divisors (87046112357568).

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

27505131990336 is a wasteful number, since it uses less digits than its factorization.

27505131990336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 54.

The spelling of 27505131990336 in words is "twenty-seven trillion, five hundred five billion, one hundred thirty-one million, nine hundred ninety thousand, three hundred thirty-six".