211131006625440 has 1152 divisors, whose sum is σ = 807949410428160. Its totient is φ = 49773964492800.

The previous prime is 211131006625423. The next prime is 211131006625447. The reversal of 211131006625440 is 44526600131112.

211131006625440 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 3 + 100 + 6 + 6 + 2 + 544 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 211131006625395 and 211131006625404.

It is not an unprimeable number, because it can be changed into a prime (211131006625447) 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 191 ways as a sum of consecutive naturals, for example, 55082441764 + ... + 55082445596.

It is an arithmetic number, because the mean of its divisors is an integer number (701344974330).

Almost surely, 2^{211131006625440} is an apocalyptic number.

211131006625440 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 211131006625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403974705214080).

211131006625440 is an abundant number, since it is smaller than the sum of its proper divisors (596818403802720).

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

211131006625440 is a wasteful number, since it uses less digits than its factorization.

211131006625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 211131006625440 its reverse (44526600131112), we get a palindrome (255657606756552).

The spelling of 211131006625440 in words is "two hundred eleven trillion, one hundred thirty-one billion, six million, six hundred twenty-five thousand, four hundred forty".