210116718000 has 960 divisors, whose sum is σ = 870716770560. Its totient is φ = 46227456000.

The previous prime is 210116717999. The next prime is 210116718013. The reversal of 210116718000 is 817611012.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 459773772 + ... + 459774228.

It is an arithmetic number, because the mean of its divisors is an integer number (906996636).

Almost surely, 2^210116718000 is an apocalyptic number.

210116718000 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 210116718000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435358385280).

210116718000 is an abundant number, since it is smaller than the sum of its proper divisors (660600052560).

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

210116718000 is a wasteful number, since it uses less digits than its factorization.

210116718000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 210116718000 in words is "two hundred ten billion, one hundred sixteen million, seven hundred eighteen thousand".