212093761632 has 96 divisors (see below), whose sum is σ = 566063769600. Its totient is φ = 69515512320.

The previous prime is 212093761601. The next prime is 212093761661. The reversal of 212093761632 is 236167390212.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 29856193 + ... + 29863295.

It is an arithmetic number, because the mean of its divisors is an integer number (5896497600).

Almost surely, 2^212093761632 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 212093761632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283031884800).

212093761632 is an abundant number, since it is smaller than the sum of its proper divisors (353970007968).

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

212093761632 is a wasteful number, since it uses less digits than its factorization.

212093761632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12276 (or 12268 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 212093761632 in words is "two hundred twelve billion, ninety-three million, seven hundred sixty-one thousand, six hundred thirty-two".