210814016952 has 256 divisors, whose sum is σ = 700246425600. Its totient is φ = 51261281280.

The previous prime is 210814016879. The next prime is 210814016977. The reversal of 210814016952 is 259610418012.

It is a self number, because there is not a number n which added to its sum of digits gives 210814016952.

It is a congruent number.

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, 1944924 + ... + 2050452.

It is an arithmetic number, because the mean of its divisors is an integer number (2735337600).

Almost surely, 2^210814016952 is an apocalyptic number.

210814016952 is a gapful number since it is divisible by the number (22) 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 210814016952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350123212800).

210814016952 is an abundant number, since it is smaller than the sum of its proper divisors (489432408648).

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

210814016952 is a wasteful number, since it uses less digits than its factorization.

210814016952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105626 (or 105622 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 210814016952 in words is "two hundred ten billion, eight hundred fourteen million, sixteen thousand, nine hundred fifty-two".