211882079528 has 48 divisors (see below), whose sum is σ = 462201727680. Its totient is φ = 90794626272.

The previous prime is 211882079527. The next prime is 211882079561. The reversal of 211882079528 is 825970288112.

211882079528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 211882079528.

It is not an unprimeable number, because it can be changed into a prime (211882079527) 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 11 ways as a sum of consecutive naturals, for example, 3348875 + ... + 3411557.

It is an arithmetic number, because the mean of its divisors is an integer number (9629202660).

Almost surely, 2^211882079528 is an apocalyptic number.

211882079528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

211882079528 is an abundant number, since it is smaller than the sum of its proper divisors (250319648152).

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

211882079528 is a wasteful number, since it uses less digits than its factorization.

211882079528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71326 (or 71315 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 53.

The spelling of 211882079528 in words is "two hundred eleven billion, eight hundred eighty-two million, seventy-nine thousand, five hundred twenty-eight".