211423779840 has 1056 divisors, whose sum is σ = 880483806720. Its totient is φ = 42159439872.

The previous prime is 211423779829. The next prime is 211423779857. The reversal of 211423779840 is 48977324112.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 211423779840.

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 95 ways as a sum of consecutive naturals, for example, 504591151 + ... + 504591569.

Almost surely, 2^211423779840 is an apocalyptic number.

211423779840 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 211423779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440241903360).

211423779840 is an abundant number, since it is smaller than the sum of its proper divisors (669060026880).

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

211423779840 is a wasteful number, since it uses less digits than its factorization.

211423779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 211423779840 in words is "two hundred eleven billion, four hundred twenty-three million, seven hundred seventy-nine thousand, eight hundred forty".