212055427584 has 960 divisors, whose sum is σ = 848793673728. Its totient is φ = 49169203200.

The previous prime is 212055427579. The next prime is 212055427609. The reversal of 212055427584 is 485724550212.

212055427584 is a `hidden beast` number, since 2 + 1 + 20 + 5 + 5 + 42 + 7 + 584 = 666.

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 95 ways as a sum of consecutive naturals, for example, 142990107 + ... + 142991589.

Almost surely, 2^212055427584 is an apocalyptic number.

212055427584 is a gapful number since it is divisible by the number (24) 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 212055427584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424396836864).

212055427584 is an abundant number, since it is smaller than the sum of its proper divisors (636738246144).

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

212055427584 is a wasteful number, since it uses less digits than its factorization.

212055427584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

Adding to 212055427584 its reverse (485724550212), we get a palindrome (697779977796).

The spelling of 212055427584 in words is "two hundred twelve billion, fifty-five million, four hundred twenty-seven thousand, five hundred eighty-four".