212041904256 has 864 divisors, whose sum is σ = 798791310720. Its totient is φ = 52856893440.

The previous prime is 212041904233. The next prime is 212041904273. The reversal of 212041904256 is 652409140212.

It is a happy number.

212041904256 is a `hidden beast` number, since 21 + 20 + 4 + 190 + 425 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 212041904256.

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 107 ways as a sum of consecutive naturals, for example, 491976361 + ... + 491976791.

It is an arithmetic number, because the mean of its divisors is an integer number (924526980).

Almost surely, 2^212041904256 is an apocalyptic number.

212041904256 is a gapful number since it is divisible by the number (26) 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 212041904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399395655360).

212041904256 is an abundant number, since it is smaller than the sum of its proper divisors (586749406464).

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

212041904256 is a wasteful number, since it uses less digits than its factorization.

212041904256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 212041904256 in words is "two hundred twelve billion, forty-one million, nine hundred four thousand, two hundred fifty-six".