1065985265625 has 448 divisors, whose sum is σ = 2267970969600. Its totient is φ = 434304000000.

The previous prime is 1065985265573. The next prime is 1065985265627. The reversal of 1065985265625 is 5265625895601.

It is a happy number.

It is not a de Polignac number, because 1065985265625 - 2¹⁰ = 1065985264601 is a prime.

It is a super-2 number, since 2×1065985265625² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1065985265627) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 13493484336 + ... + 13493484414.

It is an arithmetic number, because the mean of its divisors is an integer number (5062435200).

Almost surely, 2^{1065985265625} is an apocalyptic number.

1065985265625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1065985265625 is an abundant number, since it is smaller than the sum of its proper divisors (1201985703975).

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

1065985265625 is an frugal number, since it uses more digits than its factorization.

1065985265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 60.

The spelling of 1065985265625 in words is "one trillion, sixty-five billion, nine hundred eighty-five million, two hundred sixty-five thousand, six hundred twenty-five".