263414271120 has 1280 divisors, whose sum is σ = 1149046456320. Its totient is φ = 48159129600.

The previous prime is 263414271097. The next prime is 263414271137. The reversal of 263414271120 is 21172414362.

263414271120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 513239²-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 255 ways as a sum of consecutive naturals, for example, 462942196 + ... + 462942764.

It is an arithmetic number, because the mean of its divisors is an integer number (897692544).

Almost surely, 2^263414271120 is an apocalyptic number.

263414271120 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 263414271120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574523228160).

263414271120 is an abundant number, since it is smaller than the sum of its proper divisors (885632185200).

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

263414271120 is a wasteful number, since it uses less digits than its factorization.

263414271120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 263414271120 its reverse (21172414362), we get a palindrome (284586685482).

The spelling of 263414271120 in words is "two hundred sixty-three billion, four hundred fourteen million, two hundred seventy-one thousand, one hundred twenty".