211316430010504 has 640 divisors, whose sum is σ = 539398687212000. Its totient is φ = 76856923422720.

The previous prime is 211316430010501. The next prime is 211316430010519. The reversal of 211316430010504 is 405010034613112.

It can be written as a sum of positive squares in 16 ways, for example, as 8692649788900 + 202623780221604 = 2948330^2 + 14234598^2 .

It is not an unprimeable number, because it can be changed into a prime (211316430010501) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38582511414 + ... + 38582516890.

Almost surely, 2^{211316430010504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211316430010504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269699343606000).

211316430010504 is an abundant number, since it is smaller than the sum of its proper divisors (328082257201496).

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

211316430010504 is a wasteful number, since it uses less digits than its factorization.

211316430010504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 211316430010504 its reverse (405010034613112), we get a palindrome (616326464623616).

The spelling of 211316430010504 in words is "two hundred eleven trillion, three hundred sixteen billion, four hundred thirty million, ten thousand, five hundred four".