268018560000 has 1320 divisors, whose sum is σ = 1064099379200. Its totient is φ = 64696320000.

The previous prime is 268018559959. The next prime is 268018560071. The reversal of 268018560000 is 65810862.

It is a happy number.

268018560000 is a `hidden beast` number, since 2 + 6 + 80 + 18 + 560 + 0 + 0 + 0 = 666.

268018560000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3392639961 + ... + 3392640039.

Almost surely, 2^268018560000 is an apocalyptic number.

268018560000 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 268018560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532049689600).

268018560000 is an abundant number, since it is smaller than the sum of its proper divisors (796080819200).

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

268018560000 is a wasteful number, since it uses less digits than its factorization.

268018560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 139 counting only the distinct ones).

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

The spelling of 268018560000 in words is "two hundred sixty-eight billion, eighteen million, five hundred sixty thousand".