263040123073536 has 132 divisors (see below), whose sum is σ = 759902651560000. Its totient is φ = 87636172935168.

The previous prime is 263040123073523. The next prime is 263040123073577. The reversal of 263040123073536 is 635370321040362.

263040123073536 is a `hidden beast` number, since 2 + 6 + 3 + 0 + 4 + 0 + 12 + 30 + 73 + 536 = 666.

263040123073536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 263040123073491 and 263040123073500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11283795 + ... + 25561773.

Almost surely, 2^{263040123073536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263040123073536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379951325780000).

263040123073536 is an abundant number, since it is smaller than the sum of its proper divisors (496862528486464).

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

263040123073536 is a wasteful number, since it uses less digits than its factorization.

263040123073536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14280004 (or 14279983 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 263040123073536 in words is "two hundred sixty-three trillion, forty billion, one hundred twenty-three million, seventy-three thousand, five hundred thirty-six".