268705052428800 has 1920 divisors, whose sum is σ = 988891266908160. Its totient is φ = 63909612748800.

The previous prime is 268705052428783. The next prime is 268705052428817. The reversal of 268705052428800 is 8824250507862.

It is an interprime number because it is at equal distance from previous prime (268705052428783) and next prime (268705052428817).

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 708984307011 + ... + 708984307389.

It is an arithmetic number, because the mean of its divisors is an integer number (515047534848).

Almost surely, 2^{268705052428800} is an apocalyptic number.

268705052428800 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 268705052428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494445633454080).

268705052428800 is an abundant number, since it is smaller than the sum of its proper divisors (720186214479360).

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

268705052428800 is a wasteful number, since it uses less digits than its factorization.

268705052428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 57.

The spelling of 268705052428800 in words is "two hundred sixty-eight trillion, seven hundred five billion, fifty-two million, four hundred twenty-eight thousand, eight hundred".