20027289600 has 468 divisors, whose sum is σ = 74153057472. Its totient is φ = 5160960000.

The previous prime is 20027289599. The next prime is 20027289613. The reversal of 20027289600 is 698272002.

20027289600 is a `hidden beast` number, since 2 + 0 + 0 + 27 + 28 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28569250 + ... + 28569950.

It is an arithmetic number, because the mean of its divisors is an integer number (158446704).

Almost surely, 2^20027289600 is an apocalyptic number.

20027289600 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 20027289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37076528736).

20027289600 is an abundant number, since it is smaller than the sum of its proper divisors (54125767872).

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

20027289600 is a wasteful number, since it uses less digits than its factorization.

20027289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20027289600 in words is "twenty billion, twenty-seven million, two hundred eighty-nine thousand, six hundred".