1065201256116 has 144 divisors (see below), whose sum is σ = 2852800204800. Its totient is φ = 334437719616.

The previous prime is 1065201256087. The next prime is 1065201256121. The reversal of 1065201256116 is 6116521025601.

1065201256116 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 20 + 12 + 5 + 611 + 6 = 666.

It is a super-2 number, since 2×1065201256116² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24769665 + ... + 24812631.

Almost surely, 2^{1065201256116} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1065201256116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426400102400).

1065201256116 is an abundant number, since it is smaller than the sum of its proper divisors (1787598948684).

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

1065201256116 is a wasteful number, since it uses less digits than its factorization.

1065201256116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43458 (or 43453 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1065201256116 in words is "one trillion, sixty-five billion, two hundred one million, two hundred fifty-six thousand, one hundred sixteen".