27006106812000 has 384 divisors, whose sum is σ = 90655536037248. Its totient is φ = 7023988736000.

The previous prime is 27006106811987. The next prime is 27006106812023. The reversal of 27006106812000 is 21860160072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2665158934 + ... + 2665169066.

It is an arithmetic number, because the mean of its divisors is an integer number (236082125097).

Almost surely, 2^{27006106812000} is an apocalyptic number.

27006106812000 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 27006106812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45327768018624).

27006106812000 is an abundant number, since it is smaller than the sum of its proper divisors (63649429225248).

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

27006106812000 is a wasteful number, since it uses less digits than its factorization.

27006106812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15619 (or 15601 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 27006106812000 its reverse (21860160072), we get a palindrome (27027966972072).

The spelling of 27006106812000 in words is "twenty-seven trillion, six billion, one hundred six million, eight hundred twelve thousand".