212908335494400 has 3456 divisors, whose sum is σ = 1001223384268800. Its totient is φ = 43062666854400.

The previous prime is 212908335494377. The next prime is 212908335494417. The reversal of 212908335494400 is 4494533809212.

It is a happy number.

212908335494400 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 0 + 83 + 35 + 494 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 53134097197 + ... + 53134101203.

Almost surely, 2^{212908335494400} is an apocalyptic number.

212908335494400 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 212908335494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500611692134400).

212908335494400 is an abundant number, since it is smaller than the sum of its proper divisors (788315048774400).

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

212908335494400 is a wasteful number, since it uses less digits than its factorization.

212908335494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 212908335494400 in words is "two hundred twelve trillion, nine hundred eight billion, three hundred thirty-five million, four hundred ninety-four thousand, four hundred".