263961600000 has 672 divisors, whose sum is σ = 1007490016512. Its totient is φ = 60211200000.

The previous prime is 263961599983. The next prime is 263961600011. The reversal of 263961600000 is 6169362.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537599755 + ... + 537600245.

It is an arithmetic number, because the mean of its divisors is an integer number (1499241096).

Almost surely, 2^263961600000 is an apocalyptic number.

263961600000 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 263961600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503745008256).

263961600000 is an abundant number, since it is smaller than the sum of its proper divisors (743528416512).

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

263961600000 is an frugal number, since it uses more digits than its factorization.

263961600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

Adding to 263961600000 its reverse (6169362), we get a palindrome (263967769362).

The spelling of 263961600000 in words is "two hundred sixty-three billion, nine hundred sixty-one million, six hundred thousand".