263871336960 has 1280 divisors, whose sum is σ = 1196786257920. Its totient is φ = 53508833280.

The previous prime is 263871336959. The next prime is 263871336973. The reversal of 263871336960 is 69633178362.

263871336960 is a `hidden beast` number, since 263 + 8 + 7 + 13 + 369 + 6 + 0 = 666.

263871336960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 263871336897 and 263871336906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 228855744 + ... + 228856896.

It is an arithmetic number, because the mean of its divisors is an integer number (934989264).

Almost surely, 2^263871336960 is an apocalyptic number.

263871336960 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 263871336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598393128960).

263871336960 is an abundant number, since it is smaller than the sum of its proper divisors (932914920960).

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

263871336960 is a wasteful number, since it uses less digits than its factorization.

263871336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 263871336960 in words is "two hundred sixty-three billion, eight hundred seventy-one million, three hundred thirty-six thousand, nine hundred sixty".