268923916800 has 2160 divisors, whose sum is σ = 1258812270144. Its totient is φ = 54190080000.

The previous prime is 268923916787. The next prime is 268923916813. The reversal of 268923916800 is 8619329862.

It is an interprime number because it is at equal distance from previous prime (268923916787) and next prime (268923916813).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3787660765 + ... + 3787660835.

Almost surely, 2^268923916800 is an apocalyptic number.

268923916800 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 268923916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629406135072).

268923916800 is an abundant number, since it is smaller than the sum of its proper divisors (989888353344).

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

268923916800 is a wasteful number, since it uses less digits than its factorization.

268923916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 268923916800 in words is "two hundred sixty-eight billion, nine hundred twenty-three million, nine hundred sixteen thousand, eight hundred".