263161501330560 has 512 divisors, whose sum is σ = 992182907289600. Its totient is φ = 58049735933952.

The previous prime is 263161501330501. The next prime is 263161501330619. The reversal of 263161501330560 is 65033105161362.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (263161501330501) and next prime (263161501330619).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 835098147 + ... + 835413213.

It is an arithmetic number, because the mean of its divisors is an integer number (1937857240800).

Almost surely, 2^{263161501330560} is an apocalyptic number.

263161501330560 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 263161501330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496091453644800).

263161501330560 is an abundant number, since it is smaller than the sum of its proper divisors (729021405959040).

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

263161501330560 is a wasteful number, since it uses less digits than its factorization.

263161501330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317268 (or 317256 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 263161501330560 in words is "two hundred sixty-three trillion, one hundred sixty-one billion, five hundred one million, three hundred thirty thousand, five hundred sixty".