211755985140 has 384 divisors, whose sum is σ = 727709875200. Its totient is φ = 44909199360.

The previous prime is 211755985117. The next prime is 211755985141. The reversal of 211755985140 is 41589557112.

211755985140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211755985140² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211755985140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211755985141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 187560096 + ... + 187561224.

It is an arithmetic number, because the mean of its divisors is an integer number (1895077800).

Almost surely, 2^211755985140 is an apocalyptic number.

211755985140 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 211755985140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363854937600).

211755985140 is an abundant number, since it is smaller than the sum of its proper divisors (515953890060).

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

211755985140 is a wasteful number, since it uses less digits than its factorization.

211755985140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 48.

The spelling of 211755985140 in words is "two hundred eleven billion, seven hundred fifty-five million, nine hundred eighty-five thousand, one hundred forty".