263890252640 has 144 divisors (see below), whose sum is σ = 725521732992. Its totient is φ = 90439888896.

The previous prime is 263890252603. The next prime is 263890252643. The reversal of 263890252640 is 46252098362.

263890252640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263890252643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25216049 + ... + 25226511.

It is an arithmetic number, because the mean of its divisors is an integer number (5038345368).

Almost surely, 2^263890252640 is an apocalyptic number.

263890252640 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 263890252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362760866496).

263890252640 is an abundant number, since it is smaller than the sum of its proper divisors (461631480352).

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

263890252640 is a wasteful number, since it uses less digits than its factorization.

263890252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13709 (or 13694 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 263890252640 in words is "two hundred sixty-three billion, eight hundred ninety million, two hundred fifty-two thousand, six hundred forty".