1068081825888 has 1728 divisors, whose sum is σ = 4270313779200. Its totient is φ = 253916467200.

The previous prime is 1068081825851. The next prime is 1068081825973. The reversal of 1068081825888 is 8885281808601.

It is a super-2 number, since 2×1068081825888² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12000919348 + ... + 12000919436.

It is an arithmetic number, because the mean of its divisors is an integer number (2471246400).

Almost surely, 2^{1068081825888} is an apocalyptic number.

1068081825888 is a gapful number since it is divisible by the number (18) 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 1068081825888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135156889600).

1068081825888 is an abundant number, since it is smaller than the sum of its proper divisors (3202231953312).

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

1068081825888 is a wasteful number, since it uses less digits than its factorization.

1068081825888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 15728640, while the sum is 63.

The spelling of 1068081825888 in words is "one trillion, sixty-eight billion, eighty-one million, eight hundred twenty-five thousand, eight hundred eighty-eight".