211782531904 has 56 divisors (see below), whose sum is σ = 427521794688. Its totient is φ = 104067870720.

The previous prime is 211782531853. The next prime is 211782531907. The reversal of 211782531904 is 409135287112.

211782531904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211782531907) 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 7 ways as a sum of consecutive naturals, for example, 1790832 + ... + 1905424.

Almost surely, 2^211782531904 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 211782531904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213760897344).

211782531904 is an abundant number, since it is smaller than the sum of its proper divisors (215739262784).

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

211782531904 is a wasteful number, since it uses less digits than its factorization.

211782531904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115103 (or 115093 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 211782531904 in words is "two hundred eleven billion, seven hundred eighty-two million, five hundred thirty-one thousand, nine hundred four".