263248161280 has 160 divisors (see below), whose sum is σ = 681902386704. Its totient is φ = 96888815616.

The previous prime is 263248161271. The next prime is 263248161299. The reversal of 263248161280 is 82161842362.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 33170608384 + 230077552896 = 182128^2 + 479664^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10537284 + ... + 10562236.

Almost surely, 2^263248161280 is an apocalyptic number.

263248161280 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 263248161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340951193352).

263248161280 is an abundant number, since it is smaller than the sum of its proper divisors (418654225424).

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

263248161280 is a wasteful number, since it uses less digits than its factorization.

263248161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25306 (or 25290 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 263248161280 in words is "two hundred sixty-three billion, two hundred forty-eight million, one hundred sixty-one thousand, two hundred eighty".