1068139483200 has 840 divisors, whose sum is σ = 4014371813760. Its totient is φ = 278517657600.

The previous prime is 1068139483181. The next prime is 1068139483207. The reversal of 1068139483200 is 23849318601.

1068139483200 is a `hidden beast` number, since 10 + 6 + 8 + 139 + 483 + 20 + 0 = 666.

It is a super-2 number, since 2×1068139483200² (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 not an unprimeable number, because it can be changed into a prime (1068139483207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1172490745 + ... + 1172491655.

It is an arithmetic number, because the mean of its divisors is an integer number (4779014064).

Almost surely, 2^{1068139483200} is an apocalyptic number.

1068139483200 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 1068139483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007185906880).

1068139483200 is an abundant number, since it is smaller than the sum of its proper divisors (2946232330560).

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

1068139483200 is a wasteful number, since it uses less digits than its factorization.

1068139483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1068139483200 in words is "one trillion, sixty-eight billion, one hundred thirty-nine million, four hundred eighty-three thousand, two hundred".