212709390393600 has 729 divisors, whose sum is σ = 772856097694317. Its totient is φ = 55814294384640.

The previous prime is 212709390393581. The next prime is 212709390393637. The reversal of 212709390393600 is 6393093907212.

The square root of 212709390393600 is 14584560.

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

212709390393600 is a `hidden beast` number, since 2 + 1 + 27 + 0 + 9 + 3 + 9 + 0 + 3 + 9 + 3 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76575380541696 + 136134009851904 = 8750736^2 + 11667648^2 .

It is a super-3 number, since 3×212709390393600³ (a number of 44 digits) contains 333 as substring.

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 80 ways as a sum of consecutive naturals, for example, 234519724347 + ... + 234519725253.

Almost surely, 2^{212709390393600} is an apocalyptic number.

212709390393600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212709390393600 is the 14584560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212709390393600

212709390393600 is an abundant number, since it is smaller than the sum of its proper divisors (560146707300717).

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

212709390393600 is an frugal number, since it uses more digits than its factorization.

212709390393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The spelling of 212709390393600 in words is "two hundred twelve trillion, seven hundred nine billion, three hundred ninety million, three hundred ninety-three thousand, six hundred".