263751396480 has 1280 divisors, whose sum is σ = 1131609346560. Its totient is φ = 57689210880.

The previous prime is 263751396463. The next prime is 263751396481. The reversal of 263751396480 is 84693157362.

263751396480 is a `hidden beast` number, since 2 + 6 + 3 + 75 + 1 + 3 + 96 + 480 = 666.

263751396480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (263751396481) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 348416262 + ... + 348417018.

It is an arithmetic number, because the mean of its divisors is an integer number (884069802).

It is a 1-persistent number, because it is pandigital, but 2⋅263751396480 = 527502792960 is not.

Almost surely, 2^263751396480 is an apocalyptic number.

263751396480 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 263751396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565804673280).

263751396480 is an abundant number, since it is smaller than the sum of its proper divisors (867857950080).

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

263751396480 is a wasteful number, since it uses less digits than its factorization.

263751396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 263751396480 in words is "two hundred sixty-three billion, seven hundred fifty-one million, three hundred ninety-six thousand, four hundred eighty".