1065641794560 has 2112 divisors, whose sum is σ = 4708741939200. Its totient is φ = 217379635200.

The previous prime is 1065641794513. The next prime is 1065641794577. The reversal of 1065641794560 is 654971465601.

1065641794560 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 6 + 4 + 1 + 79 + 4 + 560 = 666.

It is a super-2 number, since 2×1065641794560² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1065641794497 and 1065641794506.

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, 13489136601 + ... + 13489136679.

Almost surely, 2^{1065641794560} is an apocalyptic number.

1065641794560 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 1065641794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354370969600).

1065641794560 is an abundant number, since it is smaller than the sum of its proper divisors (3643100144640).

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

1065641794560 is a wasteful number, since it uses less digits than its factorization.

1065641794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1065641794560 in words is "one trillion, sixty-five billion, six hundred forty-one million, seven hundred ninety-four thousand, five hundred sixty".