268469572800 has 1512 divisors, whose sum is σ = 1106465629584. Its totient is φ = 56567808000.

The previous prime is 268469572799. The next prime is 268469572843. The reversal of 268469572800 is 8275964862.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7255934382 + ... + 7255934418.

Almost surely, 2^268469572800 is an apocalyptic number.

268469572800 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 268469572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553232814792).

268469572800 is an abundant number, since it is smaller than the sum of its proper divisors (837996056784).

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

268469572800 is a wasteful number, since it uses less digits than its factorization.

268469572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 268469572800 in words is "two hundred sixty-eight billion, four hundred sixty-nine million, five hundred seventy-two thousand, eight hundred".