263856868900 has 81 divisors (see below), whose sum is σ = 591992459667. Its totient is φ = 102076502400.

The previous prime is 263856868897. The next prime is 263856868903. The reversal of 263856868900 is 9868658362.

The square root of 263856868900 is 513670.

It is a perfect power (a square), and thus also a powerful number.

263856868900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (263856868897) and next prime (263856868903).

It can be written as a sum of positive squares in 4 ways, for example, as 27341945316 + 236514923584 = 165354^2 + 486328^2 .

It is not an unprimeable number, because it can be changed into a prime (263856868903) 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 26 ways as a sum of consecutive naturals, for example, 159236872 + ... + 159238528.

Almost surely, 2^263856868900 is an apocalyptic number.

263856868900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

263856868900 is the 513670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263856868900

263856868900 is an abundant number, since it is smaller than the sum of its proper divisors (328135590767).

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

263856868900 is an equidigital number, since it uses as much as digits as its factorization.

263856868900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 263856868900 in words is "two hundred sixty-three billion, eight hundred fifty-six million, eight hundred sixty-eight thousand, nine hundred".