210974400000 has 2160 divisors, whose sum is σ = 994867761888. Its totient is φ = 42577920000.

The previous prime is 210974399897. The next prime is 210974400001. The reversal of 210974400000 is 4479012.

It is a happy number.

210974400000 is a `hidden beast` number, since 210 + 9 + 7 + 440 + 0 + 0 + 0 + 0 = 666.

210974400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210974400001) 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 215 ways as a sum of consecutive naturals, for example, 9172799989 + ... + 9172800011.

Almost surely, 2^210974400000 is an apocalyptic number.

210974400000 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 210974400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497433880944).

210974400000 is an abundant number, since it is smaller than the sum of its proper divisors (783893361888).

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

210974400000 is an equidigital number, since it uses as much as digits as its factorization.

210974400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 210974400000 its reverse (4479012), we get a palindrome (210978879012).

The spelling of 210974400000 in words is "two hundred ten billion, nine hundred seventy-four million, four hundred thousand".