268980480000 has 960 divisors, whose sum is σ = 1024445822400. Its totient is φ = 69672960000.

The previous prime is 268980479953. The next prime is 268980480007. The reversal of 268980480000 is 84089862.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (268980480007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1486079910 + ... + 1486080090.

It is an arithmetic number, because the mean of its divisors is an integer number (1067131065).

Almost surely, 2^268980480000 is an apocalyptic number.

268980480000 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 268980480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512222911200).

268980480000 is an abundant number, since it is smaller than the sum of its proper divisors (755465342400).

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

268980480000 is an equidigital number, since it uses as much as digits as its factorization.

268980480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 268980480000 in words is "two hundred sixty-eight billion, nine hundred eighty million, four hundred eighty thousand".