265406832768 has 512 divisors, whose sum is σ = 930004992000. Its totient is φ = 64970035200.

The previous prime is 265406832731. The next prime is 265406832797. The reversal of 265406832768 is 867238604562.

265406832768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×265406832768² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118536993 + ... + 118539231.

It is an arithmetic number, because the mean of its divisors is an integer number (1816416000).

Almost surely, 2^265406832768 is an apocalyptic number.

265406832768 is a gapful number since it is divisible by the number (28) 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 265406832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465002496000).

265406832768 is an abundant number, since it is smaller than the sum of its proper divisors (664598159232).

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

265406832768 is a wasteful number, since it uses less digits than its factorization.

265406832768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 265406832768 in words is "two hundred sixty-five billion, four hundred six million, eight hundred thirty-two thousand, seven hundred sixty-eight".