27627200272672 has 1152 divisors, whose sum is σ = 79358916672000. Its totient is φ = 9289624780800.

The previous prime is 27627200272523. The next prime is 27627200272723.

27627200272672 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 191 ways as a sum of consecutive naturals, for example, 46122203829 + ... + 46122204427.

It is an arithmetic number, because the mean of its divisors is an integer number (68887948500).

Almost surely, 2^{27627200272672} is an apocalyptic number.

27627200272672 is a gapful number since it is divisible by the number (22) 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 27627200272672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39679458336000).

27627200272672 is an abundant number, since it is smaller than the sum of its proper divisors (51731716399328).

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

27627200272672 is a wasteful number, since it uses less digits than its factorization.

27627200272672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 52.

It can be divided in two parts, 27627200 and 272672, that added together give a palindrome (27899872).

The spelling of 27627200272672 in words is "twenty-seven trillion, six hundred twenty-seven billion, two hundred million, two hundred seventy-two thousand, six hundred seventy-two".