216710461000 has 256 divisors, whose sum is σ = 573168960000. Its totient is φ = 76003840000.

The previous prime is 216710460997. The next prime is 216710461001. The reversal of 216710461000 is 164017612.

216710461000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 216710461000.

It is not an unprimeable number, because it can be changed into a prime (216710461001) 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 63 ways as a sum of consecutive naturals, for example, 40136301 + ... + 40141699.

It is an arithmetic number, because the mean of its divisors is an integer number (2238941250).

Almost surely, 2^216710461000 is an apocalyptic number.

216710461000 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 216710461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286584480000).

216710461000 is an abundant number, since it is smaller than the sum of its proper divisors (356458499000).

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

216710461000 is a wasteful number, since it uses less digits than its factorization.

216710461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 216710461000 its reverse (164017612), we get a palindrome (216874478612).

The spelling of 216710461000 in words is "two hundred sixteen billion, seven hundred ten million, four hundred sixty-one thousand".