36120292320256 has 99 divisors (see below), whose sum is σ = 72565793390083. Its totient is φ = 17970428641280.

The previous prime is 36120292320251. The next prime is 36120292320353. The reversal of 36120292320256 is 65202329202163.

The square root of 36120292320256 is 6010016.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26202932454400 + 9917359865856 = 5118880^2 + 3149184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36120292320251) 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 8 ways as a sum of consecutive naturals, for example, 56349909696 + ... + 56349910336.

Almost surely, 2^{36120292320256} is an apocalyptic number.

36120292320256 is the 6010016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36120292320256

36120292320256 is an abundant number, since it is smaller than the sum of its proper divisors (36445501069827).

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

36120292320256 is an frugal number, since it uses more digits than its factorization.

36120292320256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 36120292320256 in words is "thirty-six trillion, one hundred twenty billion, two hundred ninety-two million, three hundred twenty thousand, two hundred fifty-six".