211903708900 has 81 divisors (see below), whose sum is σ = 498064217553. Its totient is φ = 78219273600.

The previous prime is 211903708889. The next prime is 211903708949. The reversal of 211903708900 is 9807309112.

The square root of 211903708900 is 460330.

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

It can be written as a sum of positive squares in 13 ways, for example, as 205758403236 + 6145305664 = 453606^2 + 78392^2 .

It is a Duffinian number.

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, 59841130 + ... + 59844670.

Almost surely, 2^211903708900 is an apocalyptic number.

211903708900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

211903708900 is the 460330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211903708900

211903708900 is an abundant number, since it is smaller than the sum of its proper divisors (286160508653).

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

211903708900 is an equidigital number, since it uses as much as digits as its factorization.

211903708900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7122 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The spelling of 211903708900 in words is "two hundred eleven billion, nine hundred three million, seven hundred eight thousand, nine hundred".