20128771504800 has 1296 divisors, whose sum is σ = 84358180152792. Its totient is φ = 4501569945600.

The previous prime is 20128771504757. The next prime is 20128771504817. The reversal of 20128771504800 is 840517782102.

20128771504800 is a `hidden beast` number, since 2 + 0 + 12 + 8 + 7 + 7 + 150 + 480 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 16452679824 + 20112318824976 = 128268^2 + 4484676^2 .

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 (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7872025122 + ... + 7872027678.

Almost surely, 2^{20128771504800} is an apocalyptic number.

20128771504800 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 20128771504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42179090076396).

20128771504800 is an abundant number, since it is smaller than the sum of its proper divisors (64229408647992).

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

20128771504800 is a wasteful number, since it uses less digits than its factorization.

20128771504800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 20128771504800 in words is "twenty trillion, one hundred twenty-eight billion, seven hundred seventy-one million, five hundred four thousand, eight hundred".