1068085909152 has 288 divisors, whose sum is σ = 3197698620480. Its totient is φ = 350636636160.

The previous prime is 1068085909151. The next prime is 1068085909199. The reversal of 1068085909152 is 2519095808601.

1068085909152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1068085909152² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1068085909151) 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, 697638627 + ... + 697640157.

It is an arithmetic number, because the mean of its divisors is an integer number (11103120210).

Almost surely, 2^{1068085909152} is an apocalyptic number.

1068085909152 is a gapful number since it is divisible by the number (12) 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 1068085909152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598849310240).

1068085909152 is an abundant number, since it is smaller than the sum of its proper divisors (2129612711328).

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

1068085909152 is a wasteful number, since it uses less digits than its factorization.

1068085909152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 1068085909152 in words is "one trillion, sixty-eight billion, eighty-five million, nine hundred nine thousand, one hundred fifty-two".