268234560000 has 600 divisors, whose sum is σ = 1055436514704. Its totient is φ = 65018880000.

The previous prime is 268234559963. The next prime is 268234560031. The reversal of 268234560000 is 65432862.

268234560000 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 3 + 45 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31675767 + ... + 31684233.

Almost surely, 2^268234560000 is an apocalyptic number.

268234560000 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 268234560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527718257352).

268234560000 is an abundant number, since it is smaller than the sum of its proper divisors (787201954704).

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

268234560000 is an equidigital number, since it uses as much as digits as its factorization.

268234560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8522 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 268234560000 its reverse (65432862), we get a palindrome (268299992862).

The spelling of 268234560000 in words is "two hundred sixty-eight billion, two hundred thirty-four million, five hundred sixty thousand".