20225808000 has 256 divisors, whose sum is σ = 74499984000. Its totient is φ = 5393433600.

The previous prime is 20225807981. The next prime is 20225808049. The reversal of 20225808000 is 80852202.

20225808000 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 580 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408591 + ... + 455409.

Almost surely, 2^20225808000 is an apocalyptic number.

20225808000 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 20225808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37249992000).

20225808000 is an abundant number, since it is smaller than the sum of its proper divisors (54274176000).

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

20225808000 is an equidigital number, since it uses as much as digits as its factorization.

20225808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46857 (or 46829 counting only the distinct ones).

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

The spelling of 20225808000 in words is "twenty billion, two hundred twenty-five million, eight hundred eight thousand".