211600321400640 has 224 divisors, whose sum is σ = 674053818914304. Its totient is φ = 56240199198720.

The previous prime is 211600321400609. The next prime is 211600321400647. The reversal of 211600321400640 is 46004123006112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 211600321400598 and 211600321400607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211600321400647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789693567 + ... + 789961473.

Almost surely, 2^{211600321400640} is an apocalyptic number.

211600321400640 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 211600321400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337026909457152).

211600321400640 is an abundant number, since it is smaller than the sum of its proper divisors (462453497513664).

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

211600321400640 is a wasteful number, since it uses less digits than its factorization.

211600321400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270645 (or 270635 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 211600321400640 its reverse (46004123006112), we get a palindrome (257604444406752).

The spelling of 211600321400640 in words is "two hundred eleven trillion, six hundred billion, three hundred twenty-one million, four hundred thousand, six hundred forty".