27104542341120 has 480 divisors, whose sum is σ = 100285080255360. Its totient is φ = 6994713968640.

The previous prime is 27104542341119. The next prime is 27104542341137. The reversal of 27104542341120 is 2114324540172.

27104542341120 is a `hidden beast` number, since 2 + 7 + 104 + 5 + 423 + 4 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 25185574 + ... + 26239706.

It is an arithmetic number, because the mean of its divisors is an integer number (208927250532).

Almost surely, 2^{27104542341120} is an apocalyptic number.

27104542341120 is a gapful number since it is divisible by the number (20) 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 27104542341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50142540127680).

27104542341120 is an abundant number, since it is smaller than the sum of its proper divisors (73180537914240).

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

27104542341120 is a wasteful number, since it uses less digits than its factorization.

27104542341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054203 (or 1054174 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 27104542341120 its reverse (2114324540172), we get a palindrome (29218866881292).

The spelling of 27104542341120 in words is "twenty-seven trillion, one hundred four billion, five hundred forty-two million, three hundred forty-one thousand, one hundred twenty".