263882790666240 has 180 divisors, whose sum is σ = 844424930131944. Its totient is φ = 70368744177664.

The previous prime is 263882790666227. The next prime is 263882790666241. The reversal of 263882790666240 is 42666097288362.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)⁴¹.

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2 and base 4.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 81920 × 49152 × 65536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263882790666241) by changing a digit.

In principle, a polygon with 263882790666240 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52776558133246 + ... + 52776558133250.

Almost surely, 2^{263882790666240} is an apocalyptic number.

263882790666240 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 263882790666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422212465065972).

263882790666240 is an abundant number, since it is smaller than the sum of its proper divisors (580542139465704).

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

263882790666240 is an frugal number, since it uses more digits than its factorization.

263882790666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 69.

The spelling of 263882790666240 in words is "two hundred sixty-three trillion, eight hundred eighty-two billion, seven hundred ninety million, six hundred sixty-six thousand, two hundred forty".