206730031216896 has 1440 divisors, whose sum is σ = 731895426662400. Its totient is φ = 57339850752000.

The previous prime is 206730031216823. The next prime is 206730031216993. The reversal of 206730031216896 is 698612130037602.

206730031216896 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 300 + 31 + 216 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 139588136476 + ... + 139588137956.

It is an arithmetic number, because the mean of its divisors is an integer number (508260712960).

Almost surely, 2^{206730031216896} 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 206730031216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365947713331200).

206730031216896 is an abundant number, since it is smaller than the sum of its proper divisors (525165395445504).

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

206730031216896 is a wasteful number, since it uses less digits than its factorization.

206730031216896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 206730031216896 in words is "two hundred six trillion, seven hundred thirty billion, thirty-one million, two hundred sixteen thousand, eight hundred ninety-six".