268966660796100 has 432 divisors, whose sum is σ = 898891943622400. Its totient is φ = 67072486440960.

The previous prime is 268966660796089. The next prime is 268966660796117. The reversal of 268966660796100 is 1697066669862.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5885848452 + ... + 5885894148.

Almost surely, 2^{268966660796100} is an apocalyptic number.

268966660796100 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 268966660796100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449445971811200).

268966660796100 is an abundant number, since it is smaller than the sum of its proper divisors (629925282826300).

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

268966660796100 is a wasteful number, since it uses less digits than its factorization.

268966660796100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50172 (or 50162 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 268966660796100 in words is "two hundred sixty-eight trillion, nine hundred sixty-six billion, six hundred sixty million, seven hundred ninety-six thousand, one hundred".