20568142080 has 432 divisors, whose sum is σ = 74728967040. Its totient is φ = 5415911424.

The previous prime is 20568142073. The next prime is 20568142097. The reversal of 20568142080 is 8024186502.

20568142080 is a `hidden beast` number, since 2 + 0 + 568 + 14 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27682189 + ... + 27682931.

It is an arithmetic number, because the mean of its divisors is an integer number (172983720).

Almost surely, 2^20568142080 is an apocalyptic number.

20568142080 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 20568142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37364483520).

20568142080 is an abundant number, since it is smaller than the sum of its proper divisors (54160824960).

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

20568142080 is an frugal number, since it uses more digits than its factorization.

20568142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 20568142080 in words is "twenty billion, five hundred sixty-eight million, one hundred forty-two thousand, eighty".