27182137836672 has 576 divisors, whose sum is σ = 96843837168000. Its totient is φ = 7165597630464.

The previous prime is 27182137836629. The next prime is 27182137836701. The reversal of 27182137836672 is 27663873128172.

It is a happy number.

27182137836672 is a `hidden beast` number, since 2 + 71 + 8 + 2 + 137 + 8 + 366 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×27182137836672² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4700349493 + ... + 4700355275.

It is an arithmetic number, because the mean of its divisors is an integer number (168131661750).

Almost surely, 2^{27182137836672} 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 27182137836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48421918584000).

27182137836672 is an abundant number, since it is smaller than the sum of its proper divisors (69661699331328).

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

27182137836672 is a wasteful number, since it uses less digits than its factorization.

27182137836672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9285 (or 9257 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 27182137836672 in words is "twenty-seven trillion, one hundred eighty-two billion, one hundred thirty-seven million, eight hundred thirty-six thousand, six hundred seventy-two".