210098304000 has 528 divisors, whose sum is σ = 815401488720. Its totient is φ = 51712819200.

The previous prime is 210098303999. The next prime is 210098304019. The reversal of 210098304000 is 403890012.

It can be written as a sum of positive squares in 8 ways, for example, as 169533121536 + 40565182464 = 411744^2 + 201408^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14968986 + ... + 14983014.

Almost surely, 2^210098304000 is an apocalyptic number.

210098304000 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 210098304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407700744360).

210098304000 is an abundant number, since it is smaller than the sum of its proper divisors (605303184720).

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

210098304000 is a wasteful number, since it uses less digits than its factorization.

210098304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14083 (or 14052 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 210098304000 in words is "two hundred ten billion, ninety-eight million, three hundred four thousand".