268820828700 has 144 divisors (see below), whose sum is σ = 804395182080. Its totient is φ = 69271937280.

The previous prime is 268820828603. The next prime is 268820828701. The reversal of 268820828700 is 7828028862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268820828701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993234 + ... + 1234566.

Almost surely, 2^268820828700 is an apocalyptic number.

268820828700 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 268820828700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402197591040).

268820828700 is an abundant number, since it is smaller than the sum of its proper divisors (535574353380).

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

268820828700 is a wasteful number, since it uses less digits than its factorization.

268820828700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241476 (or 241469 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 268820828700 in words is "two hundred sixty-eight billion, eight hundred twenty million, eight hundred twenty-eight thousand, seven hundred".