211771812960 has 192 divisors, whose sum is σ = 741418997760. Its totient is φ = 56455902720.

The previous prime is 211771812937. The next prime is 211771812979. The reversal of 211771812960 is 69218177112.

It is a happy number.

211771812960 is a `hidden beast` number, since 211 + 7 + 71 + 81 + 296 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 23889489 + ... + 23898351.

It is an arithmetic number, because the mean of its divisors is an integer number (3861557280).

Almost surely, 2^211771812960 is an apocalyptic number.

211771812960 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 211771812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370709498880).

211771812960 is an abundant number, since it is smaller than the sum of its proper divisors (529647184800).

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

211771812960 is a wasteful number, since it uses less digits than its factorization.

211771812960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14418 (or 14404 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 211771812960 in words is "two hundred eleven billion, seven hundred seventy-one million, eight hundred twelve thousand, nine hundred sixty".