268145628200 has 96 divisors (see below), whose sum is σ = 656463043200. Its totient is φ = 101580272640.

The previous prime is 268145628197. The next prime is 268145628211. The reversal of 268145628200 is 2826541862.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14039057 + ... + 14058143.

It is an arithmetic number, because the mean of its divisors is an integer number (6838156700).

Almost surely, 2^268145628200 is an apocalyptic number.

268145628200 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 268145628200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328231521600).

268145628200 is an abundant number, since it is smaller than the sum of its proper divisors (388317415000).

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

268145628200 is a wasteful number, since it uses less digits than its factorization.

268145628200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22819 (or 22810 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 268145628200 in words is "two hundred sixty-eight billion, one hundred forty-five million, six hundred twenty-eight thousand, two hundred".