212293248099840 has 960 divisors, whose sum is σ = 833343512601600. Its totient is φ = 49621508554752.

The previous prime is 212293248099799. The next prime is 212293248099871. The reversal of 212293248099840 is 48990842392212.

212293248099840 is a `hidden beast` number, since 2 + 1 + 2 + 29 + 3 + 2 + 480 + 9 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 438831529 + ... + 439315031.

It is an arithmetic number, because the mean of its divisors is an integer number (868066158960).

Almost surely, 2^{212293248099840} is an apocalyptic number.

212293248099840 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 212293248099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416671756300800).

212293248099840 is an abundant number, since it is smaller than the sum of its proper divisors (621050264501760).

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

212293248099840 is a wasteful number, since it uses less digits than its factorization.

212293248099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483627 (or 483608 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 212293248099840 in words is "two hundred twelve trillion, two hundred ninety-three billion, two hundred forty-eight million, ninety-nine thousand, eight hundred forty".