210009096845952 has 512 divisors, whose sum is σ = 621665795808000. Its totient is φ = 62505760063488.

The previous prime is 210009096845929. The next prime is 210009096845983. The reversal of 210009096845952 is 259548690900012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40131680328 + ... + 40131685560.

Almost surely, 2^{210009096845952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210009096845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310832897904000).

210009096845952 is an abundant number, since it is smaller than the sum of its proper divisors (411656698962048).

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

210009096845952 is a wasteful number, since it uses less digits than its factorization.

210009096845952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8948 (or 8936 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 60.

The spelling of 210009096845952 in words is "two hundred ten trillion, nine billion, ninety-six million, eight hundred forty-five thousand, nine hundred fifty-two".