212959543591872 has 3024 divisors, whose sum is σ = 831747406823424. Its totient is φ = 51824141107200.

The previous prime is 212959543591853. The next prime is 212959543591891. The reversal of 212959543591872 is 278195345959212.

212959543591872 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 5 + 9 + 5 + 435 + 9 + 187 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (212959543591853) and next prime (212959543591891).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 212959543591872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 631927428888 + ... + 631927429224.

Almost surely, 2^{212959543591872} is an apocalyptic number.

212959543591872 is a gapful number since it is divisible by the number (22) 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 212959543591872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415873703411712).

212959543591872 is an abundant number, since it is smaller than the sum of its proper divisors (618787863231552).

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

212959543591872 is a wasteful number, since it uses less digits than its factorization.

212959543591872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 565 counting only the distinct ones).

The product of its digits is 489888000, while the sum is 72.

The spelling of 212959543591872 in words is "two hundred twelve trillion, nine hundred fifty-nine billion, five hundred forty-three million, five hundred ninety-one thousand, eight hundred seventy-two".