211351672900 has 81 divisors (see below), whose sum is σ = 474224766813. Its totient is φ = 81758383200.

The previous prime is 211351672871. The next prime is 211351672901. The reversal of 211351672900 is 9276153112.

The square root of 211351672900 is 459730.

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

It can be written as a sum of positive squares in only one way, i.e., 76086602244 + 135265070656 = 275838^2 + 367784^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 211351672900.

It is not an unprimeable number, because it can be changed into a prime (211351672901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 142515559 + ... + 142517041.

Almost surely, 2^211351672900 is an apocalyptic number.

211351672900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

211351672900 is the 459730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211351672900

211351672900 is an abundant number, since it is smaller than the sum of its proper divisors (262873093913).

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

211351672900 is an equidigital number, since it uses as much as digits as its factorization.

211351672900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 211351672900 in words is "two hundred eleven billion, three hundred fifty-one million, six hundred seventy-two thousand, nine hundred".