263320512000 has 960 divisors, whose sum is σ = 1097258145984. Its totient is φ = 55531929600.

The previous prime is 263320511989. The next prime is 263320512017. The reversal of 263320512000 is 215023362.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 122302924 + ... + 122305076.

Almost surely, 2^263320512000 is an apocalyptic number.

263320512000 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 263320512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548629072992).

263320512000 is an abundant number, since it is smaller than the sum of its proper divisors (833937633984).

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

263320512000 is a wasteful number, since it uses less digits than its factorization.

263320512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 263320512000 its reverse (215023362), we get a palindrome (263535535362).

The spelling of 263320512000 in words is "two hundred sixty-three billion, three hundred twenty million, five hundred twelve thousand".