20160568162800 has 720 divisors, whose sum is σ = 76483522428768. Its totient is φ = 4887945216000.

The previous prime is 20160568162771. The next prime is 20160568162837. The reversal of 20160568162800 is 826186506102.

20160568162800 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 0 + 568 + 1 + 6 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1309035100 + ... + 1309050500.

Almost surely, 2^{20160568162800} is an apocalyptic number.

20160568162800 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 20160568162800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38241761214384).

20160568162800 is an abundant number, since it is smaller than the sum of its proper divisors (56322954265968).

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

20160568162800 is a wasteful number, since it uses less digits than its factorization.

20160568162800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15858 (or 15844 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 20160568162800 in words is "twenty trillion, one hundred sixty billion, five hundred sixty-eight million, one hundred sixty-two thousand, eight hundred".