20028189081600 has 1536 divisors, whose sum is σ = 85187447059200. Its totient is φ = 4575005245440.

The previous prime is 20028189081557. The next prime is 20028189081629. The reversal of 20028189081600 is 618098182002.

It is a happy number.

20028189081600 is a `hidden beast` number, since 2 + 0 + 0 + 28 + 18 + 9 + 0 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×20028189081600³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12541132002 + ... + 12541133598.

Almost surely, 2^{20028189081600} is an apocalyptic number.

20028189081600 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 20028189081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42593723529600).

20028189081600 is an abundant number, since it is smaller than the sum of its proper divisors (65159257977600).

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

20028189081600 is an frugal number, since it uses more digits than its factorization.

20028189081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 20028189081600 in words is "twenty trillion, twenty-eight billion, one hundred eighty-nine million, eighty-one thousand, six hundred".