210217052300672 has 64 divisors (see below), whose sum is σ = 422980329715200. Its totient is φ = 104057490432000.

The previous prime is 210217052300659. The next prime is 210217052300683. The reversal of 210217052300672 is 276003250712012.

210217052300672 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 (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129910904 + ... + 131519112.

It is an arithmetic number, because the mean of its divisors is an integer number (6609067651800).

Almost surely, 2^{210217052300672} 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 210217052300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211490164857600).

210217052300672 is an abundant number, since it is smaller than the sum of its proper divisors (212763277414528).

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

210217052300672 is a wasteful number, since it uses less digits than its factorization.

210217052300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618435 (or 1618423 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 210217052300672 in words is "two hundred ten trillion, two hundred seventeen billion, fifty-two million, three hundred thousand, six hundred seventy-two".