210312869378304 has 576 divisors, whose sum is σ = 710081644124160. Its totient is φ = 54125356032000.

The previous prime is 210312869378243. The next prime is 210312869378317. The reversal of 210312869378304 is 403873968213012.

It is a super-2 number, since 2×210312869378304² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 779809879 + ... + 780079529.

It is an arithmetic number, because the mean of its divisors is an integer number (1232780632160).

Almost surely, 2^{210312869378304} is an apocalyptic number.

210312869378304 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 210312869378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355040822062080).

210312869378304 is an abundant number, since it is smaller than the sum of its proper divisors (499768774745856).

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

210312869378304 is a wasteful number, since it uses less digits than its factorization.

210312869378304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269819 (or 269783 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 210312869378304 in words is "two hundred ten trillion, three hundred twelve billion, eight hundred sixty-nine million, three hundred seventy-eight thousand, three hundred four".