210973301006400 has 567 divisors, whose sum is σ = 778823434842141. Its totient is φ = 56246997404160.

The previous prime is 210973301006389. The next prime is 210973301006407. The reversal of 210973301006400 is 4600103379012.

The square root of 210973301006400 is 14524920.

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

210973301006400 is a `hidden beast` number, since 2 + 1 + 0 + 9 + 7 + 3 + 3 + 0 + 1 + 0 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75950388362304 + 135022912644096 = 8714952^2 + 11619936^2 .

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

It is not an unprimeable number, because it can be changed into a prime (210973301006407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 47060738559 + ... + 47060743041.

Almost surely, 2^{210973301006400} is an apocalyptic number.

210973301006400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

210973301006400 is the 14524920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210973301006400

210973301006400 is an abundant number, since it is smaller than the sum of its proper divisors (567850133835741).

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

210973301006400 is an frugal number, since it uses more digits than its factorization.

210973301006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9012 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

210973301006400 divided by its sum of digits (36) gives a square (5860369472400 = 2420820²).

The spelling of 210973301006400 in words is "two hundred ten trillion, nine hundred seventy-three billion, three hundred one million, six thousand, four hundred".