27134012000 has 192 divisors, whose sum is σ = 67841976384. Its totient is φ = 10664550400.

The previous prime is 27134011963. The next prime is 27134012027. The reversal of 27134012000 is 21043172.

It is a super-2 number, since 2×27134012000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78195827 + ... + 78196173.

It is an arithmetic number, because the mean of its divisors is an integer number (353343627).

Almost surely, 2^27134012000 is an apocalyptic number.

27134012000 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 27134012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33920988192).

27134012000 is an abundant number, since it is smaller than the sum of its proper divisors (40707964384).

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

27134012000 is a wasteful number, since it uses less digits than its factorization.

27134012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 27134012000 its reverse (21043172), we get a palindrome (27155055172).

The spelling of 27134012000 in words is "twenty-seven billion, one hundred thirty-four million, twelve thousand".