273216774400 has 108 divisors (see below), whose sum is σ = 677102951700. Its totient is φ = 109149552640.

The previous prime is 273216774343. The next prime is 273216774409. The reversal of 273216774400 is 4477612372.

273216774400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 615833856 + 272600940544 = 24816^2 + 522112^2 .

It is not an unprimeable number, because it can be changed into a prime (273216774409) 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 11 ways as a sum of consecutive naturals, for example, 5151216 + ... + 5203984.

It is an arithmetic number, because the mean of its divisors is an integer number (6269471775).

Almost surely, 2^273216774400 is an apocalyptic number.

273216774400 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 273216774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338551475850).

273216774400 is an abundant number, since it is smaller than the sum of its proper divisors (403886177300).

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

273216774400 is an equidigital number, since it uses as much as digits as its factorization.

273216774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53604 (or 53585 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 43.

The spelling of 273216774400 in words is "two hundred seventy-three billion, two hundred sixteen million, seven hundred seventy-four thousand, four hundred".