211720263055 has 48 divisors (see below), whose sum is σ = 312519271680. Its totient is φ = 137069452800.

The previous prime is 211720263031. The next prime is 211720263061. The reversal of 211720263055 is 550362027112.

211720263055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211720263055 - 2¹¹ = 211720261007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211720263055.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28560 + ... + 651349.

It is an arithmetic number, because the mean of its divisors is an integer number (6510818160).

Almost surely, 2^211720263055 is an apocalyptic number.

211720263055 is a deficient number, since it is larger than the sum of its proper divisors (100799008625).

211720263055 is a wasteful number, since it uses less digits than its factorization.

211720263055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680000 (or 679993 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 211720263055 in words is "two hundred eleven billion, seven hundred twenty million, two hundred sixty-three thousand, fifty-five".