211313070085320 has 512 divisors, whose sum is σ = 826888366080000. Its totient is φ = 46987367334912.

The previous prime is 211313070085231. The next prime is 211313070085349. The reversal of 211313070085320 is 23580070313112.

It is a happy number.

211313070085320 is a `hidden beast` number, since 2 + 11 + 313 + 0 + 7 + 0 + 0 + 8 + 5 + 320 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 1896166161 + ... + 1896277599.

It is an arithmetic number, because the mean of its divisors is an integer number (1615016340000).

Almost surely, 2^{211313070085320} is an apocalyptic number.

211313070085320 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 211313070085320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413444183040000).

211313070085320 is an abundant number, since it is smaller than the sum of its proper divisors (615575295994680).

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

211313070085320 is a wasteful number, since it uses less digits than its factorization.

211313070085320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118282 (or 118272 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 211313070085320 in words is "two hundred eleven trillion, three hundred thirteen billion, seventy million, eighty-five thousand, three hundred twenty".