2068855344000 has 896 divisors, whose sum is σ = 7808577547680. Its totient is φ = 544792780800.

The previous prime is 2068855343983. The next prime is 2068855344001. The reversal of 2068855344000 is 4435588602.

2068855344000 is a `hidden beast` number, since 20 + 68 + 85 + 53 + 440 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068855344001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 968110932 + ... + 968113068.

Almost surely, 2^{2068855344000} is an apocalyptic number.

2068855344000 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 2068855344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904288773840).

2068855344000 is an abundant number, since it is smaller than the sum of its proper divisors (5739722203680).

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

2068855344000 is an frugal number, since it uses more digits than its factorization.

2068855344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 2068855344000 in words is "two trillion, sixty-eight billion, eight hundred fifty-five million, three hundred forty-four thousand".