212664933600 has 576 divisors, whose sum is σ = 824302241280. Its totient is φ = 46610841600.

The previous prime is 212664933583. The next prime is 212664933647. The reversal of 212664933600 is 6339466212.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 40636584 + ... + 40641816.

It is an arithmetic number, because the mean of its divisors is an integer number (1431080280).

Almost surely, 2^212664933600 is an apocalyptic number.

212664933600 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 212664933600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412151120640).

212664933600 is an abundant number, since it is smaller than the sum of its proper divisors (611637307680).

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

212664933600 is a wasteful number, since it uses less digits than its factorization.

212664933600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 212664933600 in words is "two hundred twelve billion, six hundred sixty-four million, nine hundred thirty-three thousand, six hundred".