1068117317820 has 384 divisors, whose sum is σ = 4097031321600. Its totient is φ = 225443672064.

The previous prime is 1068117317749. The next prime is 1068117317849. The reversal of 1068117317820 is 287137118601.

It is a super-2 number, since 2×1068117317820² (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 a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 3248971 + ... + 3562589.

It is an arithmetic number, because the mean of its divisors is an integer number (10669352400).

Almost surely, 2^{1068117317820} is an apocalyptic number.

1068117317820 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 1068117317820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048515660800).

1068117317820 is an abundant number, since it is smaller than the sum of its proper divisors (3028914003780).

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

1068117317820 is a wasteful number, since it uses less digits than its factorization.

1068117317820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313714 (or 313706 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 1068117317820 in words is "one trillion, sixty-eight billion, one hundred seventeen million, three hundred seventeen thousand, eight hundred twenty".