20089075564800 has 1296 divisors, whose sum is σ = 81783381528576. Its totient is φ = 4661329920000.

The previous prime is 20089075564793. The next prime is 20089075564829. The reversal of 20089075564800 is 846557098002.

20089075564800 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 9 + 0 + 7 + 556 + 4 + 80 + 0 = 666.

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, 1376805505 + ... + 1376820095.

It is an arithmetic number, because the mean of its divisors is an integer number (63104461056).

Almost surely, 2^{20089075564800} is an apocalyptic number.

20089075564800 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 20089075564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40891690764288).

20089075564800 is an abundant number, since it is smaller than the sum of its proper divisors (61694305963776).

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

20089075564800 is a wasteful number, since it uses less digits than its factorization.

20089075564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14728 (or 14706 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 20089075564800 in words is "twenty trillion, eighty-nine billion, seventy-five million, five hundred sixty-four thousand, eight hundred".