263961417720 has 960 divisors, whose sum is σ = 1086461337600. Its totient is φ = 50231301120.

The previous prime is 263961417701. The next prime is 263961417721. The reversal of 263961417720 is 27714169362.

It is a self number, because there is not a number n which added to its sum of digits gives 263961417720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263961417721) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2078436297 + ... + 2078436423.

It is an arithmetic number, because the mean of its divisors is an integer number (1131730560).

Almost surely, 2^263961417720 is an apocalyptic number.

263961417720 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 263961417720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543230668800).

263961417720 is an abundant number, since it is smaller than the sum of its proper divisors (822499919880).

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

263961417720 is a wasteful number, since it uses less digits than its factorization.

263961417720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 263961417720 in words is "two hundred sixty-three billion, nine hundred sixty-one million, four hundred seventeen thousand, seven hundred twenty".