1668959358210 has 96 divisors (see below), whose sum is σ = 4455693431280. Its totient is φ = 433169049600.

The previous prime is 1668959358193. The next prime is 1668959358217. The reversal of 1668959358210 is 128539598661.

1668959358210 is a `hidden beast` number, since 1 + 6 + 68 + 9 + 5 + 9 + 358 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 176674786929 + 1492284571281 = 420327^2 + 1221591^2 .

It is not an unprimeable number, because it can be changed into a prime (1668959358217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1016326 + ... + 2090654.

Almost surely, 2^{1668959358210} is an apocalyptic number.

1668959358210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1668959358210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227846715640).

1668959358210 is an abundant number, since it is smaller than the sum of its proper divisors (2786734073070).

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

1668959358210 is a wasteful number, since it uses less digits than its factorization.

1668959358210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074804 (or 1074801 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 1668959358210 in words is "one trillion, six hundred sixty-eight billion, nine hundred fifty-nine million, three hundred fifty-eight thousand, two hundred ten".