211231640752704 has 2688 divisors, whose sum is σ = 797158294732800. Its totient is φ = 54475336581120.

The previous prime is 211231640752681. The next prime is 211231640752709. The reversal of 211231640752704 is 407257046132112.

211231640752704 is a `hidden beast` number, since 2 + 1 + 1 + 231 + 6 + 407 + 5 + 2 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 211231640752704.

It is not an unprimeable number, because it can be changed into a prime (211231640752709) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 588388971277 + ... + 588388971635.

It is an arithmetic number, because the mean of its divisors is an integer number (296561865600).

Almost surely, 2^{211231640752704} is an apocalyptic number.

211231640752704 is a gapful number since it is divisible by the number (24) 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 211231640752704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398579147366400).

211231640752704 is an abundant number, since it is smaller than the sum of its proper divisors (585926653980096).

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

211231640752704 is a wasteful number, since it uses less digits than its factorization.

211231640752704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

Adding to 211231640752704 its reverse (407257046132112), we get a palindrome (618488686884816).

The spelling of 211231640752704 in words is "two hundred eleven trillion, two hundred thirty-one billion, six hundred forty million, seven hundred fifty-two thousand, seven hundred four".