263132282880 has 480 divisors, whose sum is σ = 961836876000. Its totient is φ = 66362277888.

The previous prime is 263132282873. The next prime is 263132282893. The reversal of 263132282880 is 88282231362.

It is a happy number.

263132282880 is a `hidden beast` number, since 2 + 631 + 3 + 2 + 2 + 8 + 2 + 8 + 8 + 0 = 666.

263132282880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448265947 + ... + 448266533.

It is an arithmetic number, because the mean of its divisors is an integer number (2003826825).

Almost surely, 2^263132282880 is an apocalyptic number.

263132282880 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 263132282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480918438000).

263132282880 is an abundant number, since it is smaller than the sum of its proper divisors (698704593120).

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

263132282880 is an frugal number, since it uses more digits than its factorization.

263132282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 263132282880 in words is "two hundred sixty-three billion, one hundred thirty-two million, two hundred eighty-two thousand, eight hundred eighty".