20218871200 has 144 divisors (see below), whose sum is σ = 55160844480. Its totient is φ = 7172864000.

The previous prime is 20218871161. The next prime is 20218871219. The reversal of 20218871200 is 217881202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332781 + ... + 388819.

It is an arithmetic number, because the mean of its divisors is an integer number (383061420).

Almost surely, 2^20218871200 is an apocalyptic number.

20218871200 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 20218871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27580422240).

20218871200 is an abundant number, since it is smaller than the sum of its proper divisors (34941973280).

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

20218871200 is a wasteful number, since it uses less digits than its factorization.

20218871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56111 (or 56098 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The spelling of 20218871200 in words is "twenty billion, two hundred eighteen million, eight hundred seventy-one thousand, two hundred".