268105680000 has 320 divisors, whose sum is σ = 988796608800. Its totient is φ = 71494272000.

The previous prime is 268105679987. The next prime is 268105680023. The reversal of 268105680000 is 86501862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 2097939 + ... + 2222061.

Almost surely, 2^268105680000 is an apocalyptic number.

268105680000 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 268105680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494398304400).

268105680000 is an abundant number, since it is smaller than the sum of its proper divisors (720690928800).

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

268105680000 is an equidigital number, since it uses as much as digits as its factorization.

268105680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124166 (or 124133 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 268105680000 in words is "two hundred sixty-eight billion, one hundred five million, six hundred eighty thousand".