68056588800 has 600 divisors, whose sum is σ = 258187076532. Its totient is φ = 17694720000.

The previous prime is 68056588799. The next prime is 68056588811. The reversal of 68056588800 is 888565086.

68056588800 is a `hidden beast` number, since 6 + 8 + 0 + 56 + 588 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 30209220864 + 37847367936 = 173808^2 + 194544^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 42508000 + ... + 42509600.

Almost surely, 2^68056588800 is an apocalyptic number.

68056588800 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 68056588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129093538266).

68056588800 is an abundant number, since it is smaller than the sum of its proper divisors (190130487732).

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

68056588800 is a wasteful number, since it uses less digits than its factorization.

68056588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 68056588800 in words is "sixty-eight billion, fifty-six million, five hundred eighty-eight thousand, eight hundred".