268268267520 has 960 divisors, whose sum is σ = 1061992451520. Its totient is φ = 65034731520.

The previous prime is 268268267489. The next prime is 268268267549. The reversal of 268268267520 is 25762862862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24388024315 + ... + 24388024325.

It is an arithmetic number, because the mean of its divisors is an integer number (1106242137).

Almost surely, 2^268268267520 is an apocalyptic number.

268268267520 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 268268267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530996225760).

268268267520 is an abundant number, since it is smaller than the sum of its proper divisors (793724184000).

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

268268267520 is an frugal number, since it uses more digits than its factorization.

268268267520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 268268267520 in words is "two hundred sixty-eight billion, two hundred sixty-eight million, two hundred sixty-seven thousand, five hundred twenty".