1068891586560 has 1920 divisors, whose sum is σ = 4783373844480. Its totient is φ = 220830105600.

The previous prime is 1068891586517. The next prime is 1068891586561. The reversal of 1068891586560 is 656851988601.

1068891586560 is a `hidden beast` number, since 1 + 0 + 68 + 8 + 9 + 1 + 5 + 8 + 6 + 560 = 666.

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

It is a super-4 number, since 4×1068891586560⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068891586561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8159477695 + ... + 8159477825.

It is an arithmetic number, because the mean of its divisors is an integer number (2491340544).

Almost surely, 2^{1068891586560} is an apocalyptic number.

1068891586560 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 1068891586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391686922240).

1068891586560 is an abundant number, since it is smaller than the sum of its proper divisors (3714482257920).

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

1068891586560 is a wasteful number, since it uses less digits than its factorization.

1068891586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 1068891586560 in words is "one trillion, sixty-eight billion, eight hundred ninety-one million, five hundred eighty-six thousand, five hundred sixty".