265810609132068 has 768 divisors, whose sum is σ = 844323823042560. Its totient is φ = 62853215846400.

The previous prime is 265810609131989. The next prime is 265810609132253. The reversal of 265810609132068 is 860231906018562.

265810609132068 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 2×265810609132068² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 265810609131999 and 265810609132017.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 151631835480 + ... + 151631837232.

It is an arithmetic number, because the mean of its divisors is an integer number (1099379977920).

Almost surely, 2^{265810609132068} is an apocalyptic number.

265810609132068 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 265810609132068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422161911521280).

265810609132068 is an abundant number, since it is smaller than the sum of its proper divisors (578513213910492).

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

265810609132068 is a wasteful number, since it uses less digits than its factorization.

265810609132068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 265810609132068 in words is "two hundred sixty-five trillion, eight hundred ten billion, six hundred nine million, one hundred thirty-two thousand, sixty-eight".