211053103632 has 400 divisors, whose sum is σ = 729201601920. Its totient is φ = 57671294976.

The previous prime is 211053103603. The next prime is 211053103637. The reversal of 211053103632 is 236301350112.

211053103632 is a `hidden beast` number, since 2 + 1 + 10 + 5 + 3 + 10 + 3 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 211053103596 and 211053103605.

It is not an unprimeable number, because it can be changed into a prime (211053103637) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 19798848 + ... + 19809504.

Almost surely, 2^211053103632 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 211053103632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364600800960).

211053103632 is an abundant number, since it is smaller than the sum of its proper divisors (518148498288).

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

211053103632 is a wasteful number, since it uses less digits than its factorization.

211053103632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10780 (or 10765 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 211053103632 its reverse (236301350112), we get a palindrome (447354453744).

The spelling of 211053103632 in words is "two hundred eleven billion, fifty-three million, one hundred three thousand, six hundred thirty-two".