210213716832 has 672 divisors, whose sum is σ = 732492294912. Its totient is φ = 58119939072.

The previous prime is 210213716813. The next prime is 210213716833. The reversal of 210213716832 is 238617312012.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210213716833) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 926051503 + ... + 926051729.

It is an arithmetic number, because the mean of its divisors is an integer number (1090018296).

Almost surely, 2^210213716832 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 210213716832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366246147456).

210213716832 is an abundant number, since it is smaller than the sum of its proper divisors (522278578080).

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

210213716832 is a wasteful number, since it uses less digits than its factorization.

210213716832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 210213716832 in words is "two hundred ten billion, two hundred thirteen million, seven hundred sixteen thousand, eight hundred thirty-two".