211053256560 has 560 divisors, whose sum is σ = 758220220800. Its totient is φ = 54586400256.

The previous prime is 211053256559. The next prime is 211053256613. The reversal of 211053256560 is 65652350112.

211053256560 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 5 + 32 + 565 + 60 = 666.

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

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 111 ways as a sum of consecutive naturals, for example, 285592671 + ... + 285593409.

It is an arithmetic number, because the mean of its divisors is an integer number (1353964680).

Almost surely, 2^211053256560 is an apocalyptic number.

211053256560 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 211053256560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379110110400).

211053256560 is an abundant number, since it is smaller than the sum of its proper divisors (547166964240).

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

211053256560 is an equidigital number, since it uses as much as digits as its factorization.

211053256560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 211053256560 in words is "two hundred eleven billion, fifty-three million, two hundred fifty-six thousand, five hundred sixty".