268916690880 has 448 divisors, whose sum is σ = 974867443200. Its totient is φ = 69742632960.

The previous prime is 268916690869. The next prime is 268916690881. The reversal of 268916690880 is 88096619862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268916690881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134255959 + ... + 134257961.

It is an arithmetic number, because the mean of its divisors is an integer number (2176043400).

Almost surely, 2^268916690880 is an apocalyptic number.

268916690880 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 268916690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487433721600).

268916690880 is an abundant number, since it is smaller than the sum of its proper divisors (705950752320).

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

268916690880 is a wasteful number, since it uses less digits than its factorization.

268916690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 268916690880 in words is "two hundred sixty-eight billion, nine hundred sixteen million, six hundred ninety thousand, eight hundred eighty".