212384764800 has 768 divisors, whose sum is σ = 842667940800. Its totient is φ = 51929579520.

The previous prime is 212384764793. The next prime is 212384764873. The reversal of 212384764800 is 8467483212.

It is a happy number.

212384764800 is a `hidden beast` number, since 2 + 1 + 23 + 84 + 76 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 194313054 + ... + 194314146.

Almost surely, 2^212384764800 is an apocalyptic number.

212384764800 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 212384764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421333970400).

212384764800 is an abundant number, since it is smaller than the sum of its proper divisors (630283176000).

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

212384764800 is a wasteful number, since it uses less digits than its factorization.

212384764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 212384764800 in words is "two hundred twelve billion, three hundred eighty-four million, seven hundred sixty-four thousand, eight hundred".