263211944878080 has 2240 divisors, whose sum is σ = 1049021660712960. Its totient is φ = 62605334937600.

The previous prime is 263211944878031. The next prime is 263211944878199. The reversal of 263211944878080 is 80878449112362.

It is a happy number.

263211944878080 is a `hidden beast` number, since 2 + 6 + 3 + 2 + 119 + 448 + 78 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 263211944877999 and 263211944878017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 505205268220 + ... + 505205268740.

Almost surely, 2^{263211944878080} is an apocalyptic number.

263211944878080 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 263211944878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524510830356480).

263211944878080 is an abundant number, since it is smaller than the sum of its proper divisors (785809715834880).

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

263211944878080 is a wasteful number, since it uses less digits than its factorization.

263211944878080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 263211944878080 in words is "two hundred sixty-three trillion, two hundred eleven billion, nine hundred forty-four million, eight hundred seventy-eight thousand, eighty".