210380382080 has 128 divisors (see below), whose sum is σ = 554096648160. Its totient is φ = 75744256000.

The previous prime is 210380382029. The next prime is 210380382119. The reversal of 210380382080 is 80283083012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 210380382080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563102 + ... + 858978.

Almost surely, 2^210380382080 is an apocalyptic number.

210380382080 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 210380382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277048324080).

210380382080 is an abundant number, since it is smaller than the sum of its proper divisors (343716266080).

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

210380382080 is a wasteful number, since it uses less digits than its factorization.

210380382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296008 (or 295996 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 210380382080 in words is "two hundred ten billion, three hundred eighty million, three hundred eighty-two thousand, eighty".