265945966130880 has 2688 divisors, whose sum is σ = 1169380221714432. Its totient is φ = 56152169644032.

The previous prime is 265945966130809. The next prime is 265945966130917. The reversal of 265945966130880 is 88031669549562.

It is a happy number.

265945966130880 is a `hidden beast` number, since 2 + 6 + 5 + 9 + 459 + 6 + 61 + 30 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 265945966130799 and 265945966130808.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 113993126194 + ... + 113993128526.

It is an arithmetic number, because the mean of its divisors is an integer number (435037284864).

Almost surely, 2^{265945966130880} is an apocalyptic number.

265945966130880 is a gapful number since it is divisible by the number (20) 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 265945966130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584690110857216).

265945966130880 is an abundant number, since it is smaller than the sum of its proper divisors (903434255583552).

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

265945966130880 is a wasteful number, since it uses less digits than its factorization.

265945966130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 265945966130880 in words is "two hundred sixty-five trillion, nine hundred forty-five billion, nine hundred sixty-six million, one hundred thirty thousand, eight hundred eighty".