211255413408 has 432 divisors, whose sum is σ = 692791444800. Its totient is φ = 60823166976.

The previous prime is 211255413401. The next prime is 211255413427. The reversal of 211255413408 is 804314552112.

211255413408 is a `hidden beast` number, since 21 + 1 + 255 + 41 + 340 + 8 = 666.

211255413408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (211255413401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 164656735 + ... + 164658017.

It is an arithmetic number, because the mean of its divisors is an integer number (1603683900).

Almost surely, 2^211255413408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211255413408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346395722400).

211255413408 is an abundant number, since it is smaller than the sum of its proper divisors (481536031392).

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

211255413408 is a wasteful number, since it uses less digits than its factorization.

211255413408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 211255413408 in words is "two hundred eleven billion, two hundred fifty-five million, four hundred thirteen thousand, four hundred eight".