268665988900 has 81 divisors (see below), whose sum is σ = 619520126169. Its totient is φ = 101111669760.

The previous prime is 268665988897. The next prime is 268665988907. The reversal of 268665988900 is 9889566862.

The square root of 268665988900 is 518330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 209593658596 + 59072330304 = 457814^2 + 243048^2 .

It is a super-2 number, since 2×268665988900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268665988907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88114576 + ... + 88117624.

Almost surely, 2^268665988900 is an apocalyptic number.

268665988900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

268665988900 is the 518330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268665988900

268665988900 is an abundant number, since it is smaller than the sum of its proper divisors (350854137269).

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

268665988900 is an equidigital number, since it uses as much as digits as its factorization.

268665988900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 67.

The spelling of 268665988900 in words is "two hundred sixty-eight billion, six hundred sixty-five million, nine hundred eighty-eight thousand, nine hundred".