210872732364672 has 384 divisors, whose sum is σ = 662784598586880. Its totient is φ = 58189549916160.

The previous prime is 210872732364659. The next prime is 210872732364677. The reversal of 210872732364672 is 276463237278012.

210872732364672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210872732364677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1299252358 + ... + 1299414650.

It is an arithmetic number, because the mean of its divisors is an integer number (1726001558820).

Almost surely, 2^{210872732364672} 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 210872732364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331392299293440).

210872732364672 is an abundant number, since it is smaller than the sum of its proper divisors (451911866222208).

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

210872732364672 is a wasteful number, since it uses less digits than its factorization.

210872732364672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162882 (or 162839 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 60.

The spelling of 210872732364672 in words is "two hundred ten trillion, eight hundred seventy-two billion, seven hundred thirty-two million, three hundred sixty-four thousand, six hundred seventy-two".