210561165012 has 96 divisors (see below), whose sum is σ = 554770944000. Its totient is φ = 61571171200.

The previous prime is 210561165007. The next prime is 210561165047.

210561165012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×210561165012² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7147489 + ... + 7176887.

It is an arithmetic number, because the mean of its divisors is an integer number (5778864000).

Almost surely, 2^210561165012 is an apocalyptic number.

210561165012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210561165012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277385472000).

210561165012 is an abundant number, since it is smaller than the sum of its proper divisors (344209778988).

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

210561165012 is a wasteful number, since it uses less digits than its factorization.

210561165012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31317 (or 31315 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

It can be divided in two parts, 210561 and 165012, that added together give a palindrome (375573).

The spelling of 210561165012 in words is "two hundred ten billion, five hundred sixty-one million, one hundred sixty-five thousand, twelve".