1068008578560 has 1920 divisors, whose sum is σ = 4876852147200. Its totient is φ = 219051786240.

The previous prime is 1068008578531. The next prime is 1068008578591. The reversal of 1068008578560 is 658758008601.

1068008578560 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 0 + 0 + 8 + 5 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1068008578560² (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 a junction number, because it is equal to n+sod(n) for n = 1068008578497 and 1068008578506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4060868989 + ... + 4060869251.

It is an arithmetic number, because the mean of its divisors is an integer number (2540027160).

Almost surely, 2^{1068008578560} is an apocalyptic number.

1068008578560 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 1068008578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438426073600).

1068008578560 is an abundant number, since it is smaller than the sum of its proper divisors (3808843568640).

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

1068008578560 is a wasteful number, since it uses less digits than its factorization.

1068008578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 1068008578560 in words is "one trillion, sixty-eight billion, eight million, five hundred seventy-eight thousand, five hundred sixty".