265888000 has 144 divisors (see below), whose sum is σ = 757620864. Its totient is φ = 91084800.

The previous prime is 265887989. The next prime is 265888013. The reversal of 265888000 is 888562.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223407 + ... + 224593.

It is an arithmetic number, because the mean of its divisors is an integer number (5261256).

Almost surely, 2^265888000 is an apocalyptic number.

265888000 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 265888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378810432).

265888000 is an abundant number, since it is smaller than the sum of its proper divisors (491732864).

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

265888000 is an equidigital number, since it uses as much as digits as its factorization.

265888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 265888000 is about 16306.0724884934. The cubic root of 265888000 is about 643.0324836231.

The spelling of 265888000 in words is "two hundred sixty-five million, eight hundred eighty-eight thousand".