263082426880 has 640 divisors, whose sum is σ = 834571584000. Its totient is φ = 78814052352.

The previous prime is 263082426833. The next prime is 263082426881. The reversal of 263082426880 is 88624280362.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (263082426881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216885154 + ... + 216886366.

It is an arithmetic number, because the mean of its divisors is an integer number (1304018100).

Almost surely, 2^263082426880 is an apocalyptic number.

263082426880 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 263082426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417285792000).

263082426880 is an abundant number, since it is smaller than the sum of its proper divisors (571489157120).

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

263082426880 is a wasteful number, since it uses less digits than its factorization.

263082426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 49.

The spelling of 263082426880 in words is "two hundred sixty-three billion, eighty-two million, four hundred twenty-six thousand, eight hundred eighty".