1668853200960 has 336 divisors, whose sum is σ = 6296996946240. Its totient is φ = 402308935680.

The previous prime is 1668853200953. The next prime is 1668853200983. The reversal of 1668853200960 is 690023588661.

It is a happy number.

1668853200960 is a `hidden beast` number, since 16 + 6 + 8 + 8 + 532 + 0 + 0 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1668853200897 and 1668853200906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5523574 + ... + 5817866.

It is an arithmetic number, because the mean of its divisors is an integer number (18741062340).

Almost surely, 2^{1668853200960} is an apocalyptic number.

1668853200960 is a gapful number since it is divisible by the number (10) 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 1668853200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148498473120).

1668853200960 is an abundant number, since it is smaller than the sum of its proper divisors (4628143745280).

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

1668853200960 is a wasteful number, since it uses less digits than its factorization.

1668853200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294506 (or 294493 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1668853200960 in words is "one trillion, six hundred sixty-eight billion, eight hundred fifty-three million, two hundred thousand, nine hundred sixty".