268285023520 has 96 divisors (see below), whose sum is σ = 661766837760. Its totient is φ = 102588288000.

The previous prime is 268285023511. The next prime is 268285023529. The reversal of 268285023520 is 25320582862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (268285023511) and next prime (268285023529).

It is not an unprimeable number, because it can be changed into a prime (268285023529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6563145 + ... + 6603895.

It is an arithmetic number, because the mean of its divisors is an integer number (6893404560).

Almost surely, 2^268285023520 is an apocalyptic number.

268285023520 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 268285023520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330883418880).

268285023520 is an abundant number, since it is smaller than the sum of its proper divisors (393481814240).

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

268285023520 is a wasteful number, since it uses less digits than its factorization.

268285023520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42578 (or 42570 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 268285023520 in words is "two hundred sixty-eight billion, two hundred eighty-five million, twenty-three thousand, five hundred twenty".