1068175144960 has 576 divisors, whose sum is σ = 3252542791680. Its totient is φ = 329539584000.

The previous prime is 1068175144903. The next prime is 1068175145017. The reversal of 1068175144960 is 694415718601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1068175144903) and next prime (1068175145017).

It is a super-2 number, since 2×1068175144960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1068175144898 and 1068175144907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928040385 + ... + 928041535.

It is an arithmetic number, because the mean of its divisors is an integer number (5646775680).

Almost surely, 2^{1068175144960} is an apocalyptic number.

1068175144960 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 1068175144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626271395840).

1068175144960 is an abundant number, since it is smaller than the sum of its proper divisors (2184367646720).

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

1068175144960 is a wasteful number, since it uses less digits than its factorization.

1068175144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 1068175144960 in words is "one trillion, sixty-eight billion, one hundred seventy-five million, one hundred forty-four thousand, nine hundred sixty".