211256162866560 has 512 divisors, whose sum is σ = 779054001684480. Its totient is φ = 47695778242560.

The previous prime is 211256162866471. The next prime is 211256162866601. The reversal of 211256162866560 is 65668261652112.

It is a self number, because there is not a number n which added to its sum of digits gives 211256162866560.

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 63 ways as a sum of consecutive naturals, for example, 387189145 + ... + 387734375.

It is an arithmetic number, because the mean of its divisors is an integer number (1521589847040).

Almost surely, 2^{211256162866560} is an apocalyptic number.

211256162866560 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 211256162866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389527000842240).

211256162866560 is an abundant number, since it is smaller than the sum of its proper divisors (567797838817920).

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

211256162866560 is a wasteful number, since it uses less digits than its factorization.

211256162866560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545614 (or 545602 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 211256162866560 in words is "two hundred eleven trillion, two hundred fifty-six billion, one hundred sixty-two million, eight hundred sixty-six thousand, five hundred sixty".