265313968128 has 560 divisors, whose sum is σ = 873880229376. Its totient is φ = 79546613760.

The previous prime is 265313968123. The next prime is 265313968147. The reversal of 265313968128 is 821869313562.

265313968128 is a `hidden beast` number, since 2 + 6 + 531 + 3 + 9 + 6 + 81 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265313968123) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1189748625 + ... + 1189748847.

Almost surely, 2^265313968128 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 265313968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436940114688).

265313968128 is an abundant number, since it is smaller than the sum of its proper divisors (608566261248).

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

265313968128 is a wasteful number, since it uses less digits than its factorization.

265313968128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 402 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 265313968128 in words is "two hundred sixty-five billion, three hundred thirteen million, nine hundred sixty-eight thousand, one hundred twenty-eight".