212531010560 has 176 divisors, whose sum is σ = 580358103552. Its totient is φ = 73923379200.

The previous prime is 212531010511. The next prime is 212531010577. The reversal of 212531010560 is 65010135212.

212531010560 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 (176).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213325 + ... + 1377395.

Almost surely, 2^212531010560 is an apocalyptic number.

212531010560 is a gapful number since it is divisible by the number (20) 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 212531010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290179051776).

212531010560 is an abundant number, since it is smaller than the sum of its proper divisors (367827092992).

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

212531010560 is a wasteful number, since it uses less digits than its factorization.

212531010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164130 (or 164112 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 212531010560 its reverse (65010135212), we get a palindrome (277541145772).

The spelling of 212531010560 in words is "two hundred twelve billion, five hundred thirty-one million, ten thousand, five hundred sixty".