27413034012 has 384 divisors, whose sum is σ = 91933470720. Its totient is φ = 6865689600.

The previous prime is 27413034001. The next prime is 27413034031. The reversal of 27413034012 is 21043031472.

It is a happy number.

It is a super-2 number, since 2×27413034012² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 39105262 + ... + 39105962.

It is an arithmetic number, because the mean of its divisors is an integer number (239410080).

Almost surely, 2^27413034012 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 27413034012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45966735360).

27413034012 is an abundant number, since it is smaller than the sum of its proper divisors (64520436708).

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

27413034012 is a wasteful number, since it uses less digits than its factorization.

27413034012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 27413034012 its reverse (21043031472), we get a palindrome (48456065484).

The spelling of 27413034012 in words is "twenty-seven billion, four hundred thirteen million, thirty-four thousand, twelve".