20028042115200 has 1536 divisors, whose sum is σ = 85081659187200. Its totient is φ = 4562777640960.

The previous prime is 20028042115199. The next prime is 20028042115217. The reversal of 20028042115200 is 251124082002.

20028042115200 is a `hidden beast` number, since 2 + 0 + 0 + 28 + 0 + 421 + 15 + 200 = 666.

It is a super-2 number, since 2×20028042115200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 22681813959 + ... + 22681814841.

It is an arithmetic number, because the mean of its divisors is an integer number (55391705200).

Almost surely, 2^{20028042115200} is an apocalyptic number.

20028042115200 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 20028042115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42540829593600).

20028042115200 is an abundant number, since it is smaller than the sum of its proper divisors (65053617072000).

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

20028042115200 is an frugal number, since it uses more digits than its factorization.

20028042115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 20028042115200 its reverse (251124082002), we get a palindrome (20279166197202).

The spelling of 20028042115200 in words is "twenty trillion, twenty-eight billion, forty-two million, one hundred fifteen thousand, two hundred".