212213583935568 has 480 divisors, whose sum is σ = 644195868825600. Its totient is φ = 67502734345728.

The previous prime is 212213583935557. The next prime is 212213583935593. The reversal of 212213583935568 is 865539385312212.

212213583935568 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 1 + 3 + 5 + 8 + 39 + 35 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104077283893 + ... + 104077285931.

It is an arithmetic number, because the mean of its divisors is an integer number (1342074726720).

Almost surely, 2^{212213583935568} 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 212213583935568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322097934412800).

212213583935568 is an abundant number, since it is smaller than the sum of its proper divisors (431982284890032).

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

212213583935568 is a wasteful number, since it uses less digits than its factorization.

212213583935568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4243 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 212213583935568 in words is "two hundred twelve trillion, two hundred thirteen billion, five hundred eighty-three million, nine hundred thirty-five thousand, five hundred sixty-eight".