210312980800 has 336 divisors, whose sum is σ = 569558545920. Its totient is φ = 75967119360.

The previous prime is 210312980791. The next prime is 210312980833. The reversal of 210312980800 is 8089213012.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 190673049 + ... + 190674151.

It is an arithmetic number, because the mean of its divisors is an integer number (1695114720).

Almost surely, 2^210312980800 is an apocalyptic number.

210312980800 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 210312980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284779272960).

210312980800 is an abundant number, since it is smaller than the sum of its proper divisors (359245565120).

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

210312980800 is a wasteful number, since it uses less digits than its factorization.

210312980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 210312980800 in words is "two hundred ten billion, three hundred twelve million, nine hundred eighty thousand, eight hundred".