1068058483200 has 840 divisors, whose sum is σ = 4201487798508. Its totient is φ = 268021923840.

The previous prime is 1068058483169. The next prime is 1068058483253. The reversal of 1068058483200 is 23848508601.

1068058483200 is a `hidden beast` number, since 1 + 0 + 68 + 0 + 584 + 8 + 3 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 887725764864 + 180332718336 = 942192^2 + 424656^2 .

It is a super-2 number, since 2×1068058483200² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 158627034 + ... + 158633766.

Almost surely, 2^{1068058483200} is an apocalyptic number.

1068058483200 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 1068058483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100743899254).

1068058483200 is an abundant number, since it is smaller than the sum of its proper divisors (3133429315308).

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

1068058483200 is an frugal number, since it uses more digits than its factorization.

1068058483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6796 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1068058483200 in words is "one trillion, sixty-eight billion, fifty-eight million, four hundred eighty-three thousand, two hundred".