568120780800 has 1008 divisors, whose sum is σ = 2184493933440. Its totient is φ = 146313216000.

The previous prime is 568120780793. The next prime is 568120780811. The reversal of 568120780800 is 8087021865.

568120780800 is a `hidden beast` number, since 568 + 1 + 2 + 0 + 7 + 8 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×568120780800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1157068555 + ... + 1157069045.

It is an arithmetic number, because the mean of its divisors is an integer number (2167156680).

Almost surely, 2^568120780800 is an apocalyptic number.

568120780800 is a gapful number since it is divisible by the number (50) 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 568120780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092246966720).

568120780800 is an abundant number, since it is smaller than the sum of its proper divisors (1616373152640).

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

568120780800 is an equidigital number, since it uses as much as digits as its factorization.

568120780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 568120780800 in words is "five hundred sixty-eight billion, one hundred twenty million, seven hundred eighty thousand, eight hundred".