27830351600704 has 63 divisors (see below), whose sum is σ = 57198376069237. Its totient is φ = 13434751301888.

The previous prime is 27830351600683. The next prime is 27830351600707. The reversal of 27830351600704 is 40700615303872.

It is a happy number.

The square root of 27830351600704 is 5275448.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14593561303104 + 13236790297600 = 3820152^2 + 3638240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27830351600707) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1223892567 + ... + 1223915305.

Almost surely, 2^{27830351600704} is an apocalyptic number.

27830351600704 is the 5275448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27830351600704

27830351600704 is an abundant number, since it is smaller than the sum of its proper divisors (29368024468533).

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

27830351600704 is an frugal number, since it uses more digits than its factorization.

27830351600704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45548 (or 22770 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 27830351600704 in words is "twenty-seven trillion, eight hundred thirty billion, three hundred fifty-one million, six hundred thousand, seven hundred four".