265478608830240 has 576 divisors, whose sum is σ = 1033138541346912. Its totient is φ = 61497733939200.

The previous prime is 265478608830233. The next prime is 265478608830289. The reversal of 265478608830240 is 42038806874562.

265478608830240 is a `hidden beast` number, since 2 + 6 + 5 + 478 + 60 + 8 + 83 + 0 + 24 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5231119162896 + 260247489667344 = 2287164^2 + 16132188^2 .

It is a super-2 number, since 2×265478608830240² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3227230710 + ... + 3227312970.

Almost surely, 2^{265478608830240} is an apocalyptic number.

265478608830240 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 265478608830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516569270673456).

265478608830240 is an abundant number, since it is smaller than the sum of its proper divisors (767659932516672).

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

265478608830240 is a wasteful number, since it uses less digits than its factorization.

265478608830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92453 (or 92442 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 265478608830240 in words is "two hundred sixty-five trillion, four hundred seventy-eight billion, six hundred eight million, eight hundred thirty thousand, two hundred forty".