27411042890868 has 384 divisors, whose sum is σ = 84820403748864. Its totient is φ = 6689599488000.

The previous prime is 27411042890867. The next prime is 27411042890873. The reversal of 27411042890868 is 86809824011472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27411042890867) 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 127 ways as a sum of consecutive naturals, for example, 3738035730 + ... + 3738043062.

It is an arithmetic number, because the mean of its divisors is an integer number (220886468096).

Almost surely, 2^{27411042890868} is an apocalyptic number.

27411042890868 is a gapful number since it is divisible by the number (28) 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 27411042890868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42410201874432).

27411042890868 is an abundant number, since it is smaller than the sum of its proper divisors (57409360857996).

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

27411042890868 is a wasteful number, since it uses less digits than its factorization.

27411042890868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12215 (or 12213 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 60.

The spelling of 27411042890868 in words is "twenty-seven trillion, four hundred eleven billion, forty-two million, eight hundred ninety thousand, eight hundred sixty-eight".