20225788800 has 1152 divisors, whose sum is σ = 85358822400. Its totient is φ = 4180377600.

The previous prime is 20225788787. The next prime is 20225788837. The reversal of 20225788800 is 888752202.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 277065564 + ... + 277065636.

It is an arithmetic number, because the mean of its divisors is an integer number (74096200).

Almost surely, 2^20225788800 is an apocalyptic number.

20225788800 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 20225788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42679411200).

20225788800 is an abundant number, since it is smaller than the sum of its proper divisors (65133033600).

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

20225788800 is a wasteful number, since it uses less digits than its factorization.

20225788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 20225788800 in words is "twenty billion, two hundred twenty-five million, seven hundred eighty-eight thousand, eight hundred".