213205763430 has 192 divisors, whose sum is σ = 637957831680. Its totient is φ = 48858163200.

The previous prime is 213205763429. The next prime is 213205763437. The reversal of 213205763430 is 34367502312.

213205763430 is a `hidden beast` number, since 2 + 1 + 3 + 20 + 576 + 34 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213205763437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8696790 + ... + 8721270.

It is an arithmetic number, because the mean of its divisors is an integer number (3322697040).

Almost surely, 2^213205763430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213205763430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318978915840).

213205763430 is an abundant number, since it is smaller than the sum of its proper divisors (424752068250).

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

213205763430 is a wasteful number, since it uses less digits than its factorization.

213205763430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24987 (or 24984 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 213205763430 in words is "two hundred thirteen billion, two hundred five million, seven hundred sixty-three thousand, four hundred thirty".