1265283120816 has 1280 divisors, whose sum is σ = 4635703296000. Its totient is φ = 327431808000.

The previous prime is 1265283120809. The next prime is 1265283120863. The reversal of 1265283120816 is 6180213825621.

1265283120816 is a `hidden beast` number, since 1 + 26 + 528 + 3 + 1 + 20 + 81 + 6 = 666.

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 255 ways as a sum of consecutive naturals, for example, 8379358341 + ... + 8379358491.

It is an arithmetic number, because the mean of its divisors is an integer number (3621643200).

Almost surely, 2^{1265283120816} is an apocalyptic number.

1265283120816 is a gapful number since it is divisible by the number (16) 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 1265283120816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317851648000).

1265283120816 is an abundant number, since it is smaller than the sum of its proper divisors (3370420175184).

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

1265283120816 is a wasteful number, since it uses less digits than its factorization.

1265283120816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1265283120816 in words is "one trillion, two hundred sixty-five billion, two hundred eighty-three million, one hundred twenty thousand, eight hundred sixteen".