1068311090880 has 672 divisors, whose sum is σ = 4360634611200. Its totient is φ = 245349181440.

The previous prime is 1068311090849. The next prime is 1068311090881. The reversal of 1068311090880 is 880901138601.

1068311090880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1068311090880³ (a number of 37 digits) contains 333 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 (45).

It is not an unprimeable number, because it can be changed into a prime (1068311090881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19836469 + ... + 19890251.

It is an arithmetic number, because the mean of its divisors is an integer number (6489039600).

Almost surely, 2^{1068311090880} is an apocalyptic number.

1068311090880 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 1068311090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180317305600).

1068311090880 is an abundant number, since it is smaller than the sum of its proper divisors (3292323520320).

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

1068311090880 is a wasteful number, since it uses less digits than its factorization.

1068311090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53850 (or 53823 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 1068311090880 in words is "one trillion, sixty-eight billion, three hundred eleven million, ninety thousand, eight hundred eighty".