268632528300 has 288 divisors, whose sum is σ = 898688313600. Its totient is φ = 68781726720.

The previous prime is 268632528287. The next prime is 268632528301. The reversal of 268632528300 is 3825236862.

268632528300 is a `hidden beast` number, since 2 + 6 + 8 + 632 + 5 + 2 + 8 + 3 + 0 + 0 = 666.

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 (268632528301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6830292 + ... + 6869508.

Almost surely, 2^268632528300 is an apocalyptic number.

268632528300 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 268632528300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449344156800).

268632528300 is an abundant number, since it is smaller than the sum of its proper divisors (630055785300).

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

268632528300 is a wasteful number, since it uses less digits than its factorization.

268632528300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39342 (or 39329 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 268632528300 in words is "two hundred sixty-eight billion, six hundred thirty-two million, five hundred twenty-eight thousand, three hundred".