68248588800 has 240 divisors, whose sum is σ = 257663812032. Its totient is φ = 15599616000.

The previous prime is 68248588799. The next prime is 68248588813. The reversal of 68248588800 is 888584286.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141850 + ... + 395750.

Almost surely, 2^68248588800 is an apocalyptic number.

68248588800 is a gapful number since it is divisible by the number (60) 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 68248588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128831906016).

68248588800 is an abundant number, since it is smaller than the sum of its proper divisors (189415223232).

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

68248588800 is a wasteful number, since it uses less digits than its factorization.

68248588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253939 (or 253918 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 57.

The spelling of 68248588800 in words is "sixty-eight billion, two hundred forty-eight million, five hundred eighty-eight thousand, eight hundred".