268354105600 has 162 divisors, whose sum is σ = 772663055514. Its totient is φ = 92007014400.

The previous prime is 268354105517. The next prime is 268354105631. The reversal of 268354105600 is 6501453862.

It can be written as a sum of positive squares in 3 ways, for example, as 60768166144 + 207585939456 = 246512^2 + 455616^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114261 + ... + 741460.

Almost surely, 2^268354105600 is an apocalyptic number.

268354105600 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 268354105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386331527757).

268354105600 is an abundant number, since it is smaller than the sum of its proper divisors (504308949914).

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

268354105600 is an equidigital number, since it uses as much as digits as its factorization.

268354105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855761 (or 855735 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 268354105600 in words is "two hundred sixty-eight billion, three hundred fifty-four million, one hundred five thousand, six hundred".