27454577545472 has 216 divisors, whose sum is σ = 71024227505280. Its totient is φ = 10468999188480.

The previous prime is 27454577545463. The next prime is 27454577545477.

It is a happy number.

27454577545472 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (27454577545477) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4368554 + ... + 8601942.

It is an arithmetic number, because the mean of its divisors is an integer number (328815868080).

Almost surely, 2^{27454577545472} is an apocalyptic number.

27454577545472 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 27454577545472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35512113752640).

27454577545472 is an abundant number, since it is smaller than the sum of its proper divisors (43569649959808).

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

27454577545472 is a wasteful number, since it uses less digits than its factorization.

27454577545472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233477 (or 4233456 counting only the distinct ones).

The product of its digits is 1536640000, while the sum is 68.

The spelling of 27454577545472 in words is "twenty-seven trillion, four hundred fifty-four billion, five hundred seventy-seven million, five hundred forty-five thousand, four hundred seventy-two".