263409724928 has 240 divisors, whose sum is σ = 641984517504. Its totient is φ = 107452477440.

The previous prime is 263409724913. The next prime is 263409724937. The reversal of 263409724928 is 829427904362.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130983443 + ... + 130985453.

Almost surely, 2^263409724928 is an apocalyptic number.

263409724928 is a gapful number since it is divisible by the number (28) 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 263409724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320992258752).

263409724928 is an abundant number, since it is smaller than the sum of its proper divisors (378574792576).

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

263409724928 is a wasteful number, since it uses less digits than its factorization.

263409724928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 56.

The spelling of 263409724928 in words is "two hundred sixty-three billion, four hundred nine million, seven hundred twenty-four thousand, nine hundred twenty-eight".