27013414304184 has 128 divisors (see below), whose sum is σ = 84201590292480. Its totient is φ = 7016143305600.

The previous prime is 27013414304183. The next prime is 27013414304249. The reversal of 27013414304184 is 48140341431072.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27013414304183) 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, 40530577 + ... + 41191679.

It is an arithmetic number, because the mean of its divisors is an integer number (657824924160).

Almost surely, 2^{27013414304184} is an apocalyptic number.

27013414304184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27013414304184 is an abundant number, since it is smaller than the sum of its proper divisors (57188175988296).

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

27013414304184 is a wasteful number, since it uses less digits than its factorization.

27013414304184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683241 (or 683237 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 27013414304184 in words is "twenty-seven trillion, thirteen billion, four hundred fourteen million, three hundred four thousand, one hundred eighty-four".