210725066304 has 189 divisors, whose sum is σ = 625131092001. Its totient is φ = 67865656320.

The previous prime is 210725066267. The next prime is 210725066311. The reversal of 210725066304 is 403660527012.

The square root of 210725066304 is 459048.

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

210725066304 is a `hidden beast` number, since 2 + 10 + 7 + 2 + 5 + 0 + 6 + 630 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6102734400 + 204622331904 = 78120^2 + 452352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 341531404 + ... + 341532020.

Almost surely, 2^210725066304 is an apocalyptic number.

210725066304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

210725066304 is the 459048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210725066304

210725066304 is an abundant number, since it is smaller than the sum of its proper divisors (414406025697).

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

210725066304 is an frugal number, since it uses more digits than its factorization.

210725066304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 210725066304 by its sum of digits (36), we get a square (7586102386944 = 2754288²).

210725066304 divided by its sum of digits (36) gives a square (5853474064 = 76508²).

The spelling of 210725066304 in words is "two hundred ten billion, seven hundred twenty-five million, sixty-six thousand, three hundred four".